Class 10 Physics Chapter 8 Current Electricity

This quiz on ICSE Class 10 Physics Chapter 8: Current Electricity is designed to assess students’ understanding of key concepts such as electric current, potential difference, resistance, Ohm’s Law, series and parallel circuits, electrical power, and energy. It includes a variety of question formats that test conceptual clarity, numerical problem-solving skills, and real-life application of principles related to electric circuits. The quiz encourages critical thinking and reinforces students' ability to analyze circuit diagrams and calculate quantities using appropriate formulas. Ideal for revision or assessment, this quiz supports a strong foundation in the basics of current electricity as outlined in the ICSE curriculum.

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Category: Practical Applications of Electrical Concepts

1. A refrigerator rated 200 W is used for 10 hours each day for 30 days. Calculate the total electrical energy consumed in kilowatt-hours (kWh).

a) 60 kWh

b) 6 kWh

c) 600 kWh

d) 20 kWh

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Category: Charge (Q)

2. How many electrons must be removed from a neutral object to give it a charge of $+32 \, nC$?

a) $1 \times 10^{11}$

b) $2 \times 10^{11}$

c) $4 \times 10^{11}$

d) $8 \times 10^{11}$

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Category: Practical Applications of Electrical Concepts

3. An electric heater is rated '1000 W, 220 V'. What is the safe current that can flow through it without causing damage?

a) 4.55 A

b) 5.45 A

c) 2.27 A

d) 3.64 A

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Category: Ohm’s Law

4. Which of the following devices is an example of a non-ohmic resistor?

a) Copper wire

b) Nichrome wire

c) Filament of a bulb

d) Aluminium rod

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Category: Charge (Q)

5. (A) A body with a charge of $+3.2 \times 10^{-19} C$ has lost two electrons.
(R) The charge on an electron is $-1.6 \times 10^{-19} C$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Material of the Conductor

6. (A) Copper is widely used for electrical wiring because it has low specific resistance.
(R) The specific resistance of copper is $1.73 \times 10^{-8} \, \Omega \cdot m$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Resistors in Parallel:

7. Three resistors of $2\Omega$, $4\Omega$, and $4\Omega$ are first connected in series and then in parallel. What is the ratio of their equivalent resistances in series to parallel ($R_s/R_p$)?

a) 4

b) 5

c) 8

d) 10

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Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

8. (A) A 100 W bulb consumes 360 kJ of energy in one hour.

(R) The commercial unit of electrical energy, kilowatt-hour, is equivalent to 3.6 MJ.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Practical Applications of Electrical Concepts

9. (A) An electric bulb rated '100 W - 220 V' will consume more electrical energy when operated at 110 V compared to its rated voltage.
(R) The power consumed by an electrical appliance is directly proportional to the square of the voltage applied across it.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Potential Difference (P.D.)

10. What is the potential difference between two points if 10 joules of work is done to move a charge of 5 coulombs from one point to another?

a) 1 volt

b) 2 volts

c) 4 volts

d) 10 volts

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Category: Factors Affecting Resistance

11. Two wires A and B of the same material have lengths in the ratio 2:1 and diameters in the ratio 1:2. What is the ratio of their resistances ($R_A : R_B$)?

a) 1:4

b) 2:1

c) 8:1

d) 16:1

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Category: Electrical Power and Energy

12. How much energy in joules is equal to 1 kilowatt-hour (kWh)?

a) $360 \, J$

b) $3600 \, J$

c) $3.6 \times 10^5 \, J$

d) $3.6 \times 10^6 \, J$

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Category: Ohm’s Law

13. (A) The resistance of a conductor increases with an increase in temperature.
(R) As temperature rises, the free electrons collide more frequently with the lattice ions, increasing resistance.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Combination of resistors in parallel

14. Three resistors $R_1 = 3\Omega$, $R_2 = 6\Omega$ and $R_3 = 9\Omega$ are connected in parallel across a battery which delivers a total current of 11A. What is the current through the 6$\Omega$ resistor?

a) 2A

b) 3A

c) 4A

d) 6A

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Category: Practical Applications of Electrical Concepts

15. What energy transformation occurs in an electric heater?

a) Electrical energy to light energy

b) Electrical energy to mechanical energy

c) Electrical energy to chemical energy

d) Electrical energy to heat energy

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Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

16. A charge of $12\,C$ flows through a conductor in $4\,s$. What is the current flowing?

a) $0.33\,A$

b) $3\,A$

c) $48\,A$

d) $16\,A$

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Category: Electrical Power and Energy

17. (A) The power consumed by an electrical appliance rated 100 W - 220 V when connected to a 110 V supply is 25 W.
(R) The power consumed by an electrical appliance is directly proportional to the square of the voltage applied across it.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Factors Affecting Internal Resistance:

18. How does the surface area of electrodes affect the internal resistance of a cell?

a) Higher the surface area, higher the internal resistance

b) Larger the surface area, less is the internal resistance

c) Surface area has no effect on internal resistance

d) Smaller the surface area, less is the internal resistance

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Category: Internal Resistance

19. (A) The terminal voltage of a cell decreases when current is drawn from it.
(R) The internal resistance of the cell causes a voltage drop equal to $Ir$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Statement of Ohm’s Law:

20. A conductor initially obeys Ohm's law with resistance $R$. If its temperature increases such that the resistance becomes $1.5R$, and a new potential difference of $3V$ is applied, what is the resulting current if the initial current at $2V$ was $0.4A$?

a) $0.2\;A$

b) $0.4\;A$

c) $0.6\;A$

d) $0.8\;A$

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Category: TERMINAL VOLTAGE OF A CELL

21. The work done in moving a charge of 4 C through the external circuit connected to a cell is 20 J. If the voltage drop inside the cell for the same charge is 3 J, what is the EMF of the cell?

a) 4.25 V

b) 5.00 V

c) 5.75 V

d) 6.50 V

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Category: Commercial Energy Consumption

22. (A) The commercial unit of electrical energy is kilowatt-hour (kWh).
(R) 1 kWh equals the energy consumed by a 1 kW appliance for 1 hour.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Electrical Power and Energy

23. An electric heater is rated at $1500 W$ when connected to a $220 V$ power supply. What is the resistance of the heating element when it is in use?

a) $22.67 \Omega$

b) $32.27 \Omega$

c) $42.47 \Omega$

d) $52.67 \Omega$

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Category: Factors Affecting Internal Resistance:

24. A cell has an e.m.f. of $3.0 \, \text{V}$ and internal resistance $1.5 \, \Omega$. If the terminal voltage is $2.4 \, \text{V}$, what is the current drawn from the cell?

a) 0.25 A

b) 0.33 A

c) 0.40 A

d) 0.50 A

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Category: Combination of Resistors

25. (A) The equivalent resistance of two resistors connected in parallel is always less than the smallest individual resistance.
(R) In a parallel combination, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

26. A resistor of 50 Ω is connected to a 20V battery for 5 minutes. Calculate the electrical energy consumed by the resistor.

a) 1200 J

b) 1800 J

c) 2400 J

d) 3000 J

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Category: Area of Cross-Section

27. A wire has a resistance of $6 \, \Omega$. If its area of cross-section is doubled while keeping the length constant, what will be the new resistance?

a) 1.5 $\Omega$

b) 3 $\Omega$

c) 6 $\Omega$

d) 12 $\Omega$

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Category: Potential Difference (P.D.)

28. If the e.m.f. of a cell is 12 volts and the voltage drop inside the cell is 2 volts, what is the terminal voltage of the cell?

a) 14 volts

b) 6 volts

c) 12 volts

d) 10 volts

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Category: Charge (Q)

29. (A) A body with a charge of $+3.2 \times 10^{-19} \, C$ must have lost two electrons.
(R) The charge on an electron is $-1.6 \times 10^{-19} \, C$, so the loss of two electrons results in a net positive charge of $+3.2 \times 10^{-19} \, C$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Unit of Resistance

30. The conductance of a wire is 0.02 S. What is its resistance?

a) 0.02 $\Omega$

b) 5 $\Omega$

c) 25 $\Omega$

d) 50 $\Omega$

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Category: TERMINAL VOLTAGE OF A CELL

31. (A) The terminal voltage of a cell is always equal to its e.m.f.
(R) When no current is drawn from the cell, the terminal voltage equals the e.m.f.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Resistors in Parallel:

32. (A) The equivalent resistance of three resistors $R_1$, $R_2$, and $R_3$ connected in parallel is less than the smallest individual resistance.
(R) In a parallel combination, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of individual resistances.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

33. A body has a deficit of $3 \times 10^{12}$ electrons. What is the charge on the body?

a) $0.24 \, \mu C$

b) $0.36 \, \mu C$

c) $0.48 \, \mu C$

d) $0.64 \, \mu C$

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Category: Factors Affecting Internal Resistance:

34. Which of the following factors does NOT decrease the internal resistance of a cell?

a) Larger surface area of the electrodes

b) Higher temperature of the electrolyte

c) Greater distance between the electrodes

d) Lower concentration of the electrolyte

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Category: Combination of resistors in series

35. A circuit consists of three resistors $3 \Omega$, $5 \Omega$, and $7 \Omega$ in series connected to a battery. If the current through the circuit is $2 A$, what is the potential difference across the $5 \Omega$ resistor?

a) $5 V$

b) $10 V$

c) $15 V$

d) $20 V$

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Category: Electrical Energy and Power Consumption

36. How many joules are there in 1 kilowatt-hour (kWh)?

a) $3.6 \times 10^3 \, \text{J}$

b) $3.6 \times 10^4 \, \text{J}$

c) $3.6 \times 10^5 \, \text{J}$

d) $3.6 \times 10^6 \, \text{J}$

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Category: Unit of Resistance

37. Which material exhibits an increase in specific resistance with temperature?

a) Copper

b) Silver

c) Aluminium

d) All of the above

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Category: Statement of Ohm’s Law:

38. What is the mathematical statement of Ohm's Law?

a) $V = I^2R$

b) $V = \frac{I}{R}$

c) $V = IR$

d) $V = R/I$

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Category: Statement of Ohm’s Law:

39. Which of the following statements is true for an ohmic conductor under constant temperature?

a) The $I-V$ graph is a hyperbola.

b) The $I-V$ graph is a straight line passing through the origin.

c) The resistance decreases as the potential difference increases.

d) The current remains constant regardless of the potential difference.

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Category: CHOICE OF MATERIAL OF A WIRE

40. Which material is most suitable for making heating elements in appliances like toasters and ovens?

a) Tungsten

b) Copper

c) Aluminium

d) Nichrome

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Category: Factors affecting the resistance of a conductor

41. Which of the following materials has the lowest resistivity?

a) Copper

b) Aluminium

c) Silver

d) Tungsten

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Category: Area of Cross-Section

42. If the area of cross-section of a conductor is doubled, what happens to its resistance?

a) Becomes one-fourth

b) Becomes half

c) Doubles

d) Remains the same

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Category: Unit of Resistance

43. What is the definition of 1 ohm?

a) Resistance when 1 A current flows at 10 V

b) Resistance when 1 V produces 1 A current

c) Resistance when 10 A current flows at 1 V

d) Resistance when 0.5 A current flows at 2 V

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Category: Electrical Energy and Power Consumption

44. If an electric iron rated at 700 W is used for 2 hours daily for 30 days, what is the total cost of electricity at Rs.5 per kWh?

a) Rs.70

b) Rs.140

c) Rs.210

d) Rs.280

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Category: Area of Cross-Section

45. A cylindrical pipe of radius $R$ has a rectangular hole of width $2a$ and height $2b$ cut through it along its entire length. The hole is centered such that the distance between the center of the hole and the axis of the cylinder is $d$. What is the maximum possible cross-sectional area of the pipe excluding the hole?

a) $\pi R^2 - 4ab$

b) $\pi (R^2 - a^2 - b^2)$

c) $\pi R^2 - 2ab$

d) $\pi (R^2 - d^2)$

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Category: Unit of Resistance

46. (A) The unit of resistance is ohm (\$\Omega\$).
(R) Ohm is defined as the resistance when 1 volt applied across a conductor produces 1 ampere current.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Internal Resistance of a Cell

47. A battery with emf $\epsilon$ and internal resistance $r$ is connected to an external load $R$. The efficiency of the battery is defined as the ratio of power delivered to the load to the total power generated by the battery. For what value of $R$ (in terms of $r$) will the efficiency be 50\%?

a) $R = 0.5r$

b) $R = r$

c) $R = 2r$

d) $R = 4r$

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Category: Internal Resistance of a Cell

48. (A) The terminal voltage of a cell decreases when more current is drawn from it.
(R) The internal resistance of the cell causes a voltage drop proportional to the current.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Internal Resistance of a Cell

49. If a cell has an e.m.f. $\epsilon$ and internal resistance $r$, what is its terminal voltage $V$ when a current $I$ flows through it?

a) $V = \epsilon + I r$

b) $V = I r$

c) $V = \epsilon - I r$

d) $V = \frac{\epsilon}{I} - r$

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Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

50. If a potential difference of $6\,V$ is applied across a resistor and the current flowing is $2\,A$, what is the resistance of the resistor?

a) $0.33\,\Omega$

b) $3\,\Omega$

c) $12\,\Omega$

d) $1.5\,\Omega$

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Category: Area of Cross-Section

51. Why are power transmission wires made thick in diameter?

a) To increase their flexibility

b) To reduce their resistance

c) To make them visually appealing

d) To enhance their weight-bearing capacity

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Category: Factors Affecting Internal Resistance:

52. Which of the following changes will decrease the internal resistance of a cell?

a) Decreasing the surface area of the electrodes

b) Increasing the distance between the electrodes

c) Increasing the temperature of the electrolyte

d) Increasing the concentration of the electrolyte

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Category: Material of the Conductor

53. A copper wire of length 5 m and radius 1 mm has a resistance of 0.05 $\Omega$. What is the specific resistance of copper?

a) $1.63 \times 10^{-8}$ $\Omega$ m

b) $1.73 \times 10^{-8}$ $\Omega$ m

c) $2.63 \times 10^{-8}$ $\Omega$ m

d) $5.5 \times 10^{-8}$ $\Omega$ m

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Category: Area of Cross-Section

54. What is the correct formula to calculate the resistance ($R$) of a conductor with specific resistance ($\rho$), length ($l$), and area of cross-section ($A$)?

a) $R = \rho A l$

b) $R = \frac{\rho}{l A}$

c) $R = \frac{A}{\rho l}$

d) $R = \rho \frac{l}{A}$

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Category: Ohm’s Law

55. According to Ohm's law, if the potential difference across a conductor is 10 V and the current flowing through it is 2 A, what is the resistance of the conductor?

a) 2 $\Omega$

b) 5 $\Omega$

c) 10 $\Omega$

d) 20 $\Omega$

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Category: Combination of resistors in parallel

56. (A) In a parallel combination of resistors, the potential difference across each resistor is the same.
(R) All resistors in parallel are connected between the same two points.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: ELECTRICAL ENERGY

57. A resistor of $10 \Omega$ is connected across a battery of $20 V$. How much electrical energy is consumed in 5 minutes?

a) 1000 J

b) 12000 J

c) 20000 J

d) 24000 J

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Category: Factors Affecting Internal Resistance:

58. (A) For a cell with e.m.f. $E$, if the terminal voltage $V$ decreases when the current drawn from the cell increases, it implies that the internal resistance $r$ of the cell is significant.
(R) The terminal voltage $V$ is given by $V = E - Ir$, where $I$ is the current drawn and $r$ is the internal resistance.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Length of the Conductor

59. (A) The resistance of a wire increases when its length is increased.
(R) Resistance is directly proportional to the length of the conductor.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Factors Affecting Internal Resistance:

60. (A) Increasing the temperature of the electrolyte decreases the internal resistance of a cell.
(R) Higher temperature increases the mobility of ions in the electrolyte.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Internal Resistance

61. What is the unit of internal resistance of a cell?

a) Volt

b) Ampere

c) Ohm

d) Joule

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Category: ELECTRICAL ENERGY

62. An electric bulb is rated as $60 W - 220 V$. What is the power consumed by the bulb if it operates at $110 V$?

a) 30 W

b) 15 W

c) 60 W

d) 120 W

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Category: Commercial Energy Consumption

63. What is the equivalent of 1 kilowatt-hour (kWh) in joules?

a) $3.6 \times 10^3 \text{ J}$

b) $3.6 \times 10^4 \text{ J}$

c) $3.6 \times 10^5 \text{ J}$

d) $3.6 \times 10^6 \text{ J}$

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Category: Factors Affecting Internal Resistance:

64. A cell of emf 4.5 V and internal resistance $1.5 \Omega$ is connected to an external resistor of $6 \Omega$. If the current drawn from the cell is 0.6 A, what is the terminal voltage across the cell?

a) 3.2 V

b) 3.6 V

c) 4.0 V

d) 4.5 V

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Category: Combination of resistors in parallel

65. Four resistors, each of $5 \Omega$, are connected in parallel. What is their equivalent resistance?

a) $20 \Omega$

b) $5 \Omega$

c) $1.25 \Omega$

d) $10 \Omega$

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Category: Electrical Energy and Power Consumption

66. (A) The energy consumed by a 100 W bulb glowing for 10 hours is 1 kWh.
(R) The commercial unit of electrical energy is kilowatt-hour (kWh), where $1 kWh = 3.6 \times 10^6 J$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Factors Affecting Resistance

67. Which of the following materials has the lowest resistivity at room temperature?

a) Silver

b) Copper

c) Aluminium

d) Glass

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Category: Current (I)

68. A charge of $9.6 \times 10^{-18} \, \text{C}$ flows through a wire when a current of 3 mA passes through it. What is the time taken for this charge to flow?

a) $3.2 \times 10^{-15} \, \text{s}$

b) $2.88 \times 10^{-14} \, \text{s}$

c) $1.6 \times 10^{-16} \, \text{s}$

d) $6.4 \times 10^{-15} \, \text{s}$

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Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

69. (A) The electrical energy dissipated in a resistor increases when both the current through it and its resistance are doubled.
(R) According to the formula $W = I^2Rt$, if both current ($I$) and resistance ($R$) are doubled, the energy dissipation ($W$) becomes four times its original value.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Length of the Conductor

70. If the length of a conductor is doubled, what happens to its resistance?

a) It remains the same

b) It doubles

c) It halves

d) It quadruples

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Category: Combination of Resistors

71. Three resistors of $2 \Omega$, $3 \Omega$, and $5 \Omega$ are connected in series. What is the equivalent resistance of the combination?

a) $7 \Omega$

b) $10 \Omega$

c) $15 \Omega$

d) $30 \Omega$

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Category: Current (I)

72. If $3.125 \times 10^{19}$ electrons pass through a conductor in 5 seconds, calculate the current. (Given: Charge of one electron $e = 1.6 \times 10^{-19} C$)

a) 0.5 A

b) 1 A

c) 1.5 A

d) 2 A

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Category: Statement of Ohm’s Law:

73. Which of the following devices does NOT obey Ohm's law?

a) Nichrome wire

b) Copper wire

c) Junction diode

d) Silver wire

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Category: Combination of resistors in series

74. (A) If three resistors of resistances $R_1$, $R_2$, and $R_3$ are connected in series to a battery, the potential difference across $R_2$ will always be greater than the potential difference across $R_1$ if $R_2 > R_1$.
(R) In a series combination of resistors, the potential difference across each resistor is directly proportional to its resistance.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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Category: Statement of Ohm’s Law:

75. Two resistors $R_1 = 6\;\Omega$ and $R_2 = 3\;\Omega$ are connected in parallel to a battery providing $12V$. How does the current divide between them?

a) $1.5\;A$ through $R_1$, $4.5\;A$ through $R_2$

b) $2\;A$ through $R_1$, $4\;A$ through $R_2$

c) $3\;A$ through $R_1$, $3\;A$ through $R_2$

d) $4\;A$ through $R_1$, $2\;A$ through $R_2$

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Category: Factors affecting the resistance of a conductor

76. If the length of a wire is doubled while keeping all other factors constant, how does its resistance change?

a) It remains the same

b) It doubles

c) It halves

d) It quadruples

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Category: Length of the Conductor

77. A wire has a resistance of $4 \, \Omega$ at length $1 \, \text{m}$. What will be its resistance if the length is increased to $3 \, \text{m}$?

a) $4 \, \Omega$

b) $8 \, \Omega$

c) $12 \, \Omega$

d) $16 \, \Omega$

78 / 360

Category: Combination of resistors in series

78. Three resistors of $2 \Omega$, $3 \Omega$, and $5 \Omega$ are connected in series. What is the equivalent resistance of the combination?

a) $6 \Omega$

b) $8 \Omega$

c) $10 \Omega$

d) $12 \Omega$

79 / 360

Category: Combination of resistors in parallel

79. (A) In a parallel combination of resistors, the equivalent resistance is always less than the smallest individual resistor.
(R) The reciprocal of the equivalent resistance in a parallel combination is equal to the sum of the reciprocals of the individual resistances.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

80 / 360

Category: Practical Applications of Electrical Concepts

80. If an electric bulb is rated 60 W - 220 V, what is the resistance of its filament when glowing?

a) 440 $\Omega$

b) 806.67 $\Omega$

c) 1210 $\Omega$

d) 242 $\Omega$

81 / 360

Category: Current (I)

81. Convert $500 mA$ to amperes.

a) 0.005 A

b) 0.05 A

c) 0.5 A

d) 5 A

82 / 360

Category: Commercial Energy Consumption

82. If an electric bulb rated 100 W is used for 5 hours daily, what is the energy consumed in kWh in a week?

a) 1.5 kWh

b) 2.5 kWh

c) 3.5 kWh

d) 4.5 kWh

83 / 360

Category: Internal Resistance of a Cell

83. Which of the following factors increases the internal resistance of a cell?

a) Increase in electrode area

b) Higher concentration of electrolyte

c) Decrease in distance between electrodes

d) Increase in distance between electrodes

84 / 360

Category: Statement of Ohm’s Law:

84. (A) The current flowing through a conductor is directly proportional to the potential difference across it if physical conditions remain constant.
(R) Ohm’s law states that $V = IR$ where $R$ is the resistance of the conductor.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

85 / 360

Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

85. (A) The potential difference across a resistor increases if its resistance is doubled while keeping the current constant.
(R) According to Ohm's law ($V = IR$), potential difference ($V$) is directly proportional to the resistance ($R$) when current ($I$) is constant.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

86 / 360

Category: Commercial Energy Consumption

86. (A) A household uses a 2000 W air conditioner for 6 hours daily and a 100 W LED bulb for 10 hours daily. If the cost of electricity is \$0.15 per kWh, the total monthly electricity bill will be \$63.
(R) The total energy consumed by the appliances in a month can be calculated using the formula: $\text{Total Energy (kWh)} = \sum_{i=1}^{n} \left( \frac{P_i (\text{W}) \times t_i (\text{h})}{1000} \right)$

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

87 / 360

Category: Resistors in Parallel:

87. If two identical resistors, each with resistance $10\,\Omega$, are connected in parallel, what is their equivalent resistance?

a) $20\,\Omega$

b) $10\,\Omega$

c) $5\,\Omega$

d) $15\,\Omega$

88 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

88. While verifying Ohm’s law experimentally, the slope of the $V-I$ graph is found to be 5 $\Omega$. What does this indicate?

a) The voltage across the resistor decreases by 5 V for every 1 A increase in current.

b) The resistance of the wire used in the experiment is 5 $\Omega$.

c) The wire follows non-ohmic behavior with varying resistance.

d) The conductance of the wire is 5 siemens.

89 / 360

Category: Electrical Energy and Power Consumption

89. Three appliances—a fan (60 W), a TV (120 W), and a tube light (40 W)—are used for 5 hours daily. What is the total energy consumed in kWh in one week (7 days)?

a) 1.1 kWh

b) 5.5 kWh

c) 7.7 kWh

d) 11.0 kWh

90 / 360

Category: Internal Resistance

90. A cell has an e.m.f. of 4.5 V and a terminal voltage of 4.0 V when the current drawn is 0.5 A. What is the internal resistance of the cell?

a) 0.25 $\Omega$

b) 0.5 $\Omega$

c) 1 $\Omega$

d) 2 $\Omega$

91 / 360

Category: Statement of Ohm’s Law:

91. Which of the following materials is an example of an ohmic resistor?

a) LED

b) Copper

c) Junction diode

d) Solar cell

92 / 360

Category: Internal Resistance of a Cell

92. What is the internal resistance of a cell?

a) Resistance offered by the external circuit

b) Resistance due to the electrodes only

c) Resistance offered by the electrolyte inside the cell

d) Resistance of the connecting wires

93 / 360

Category: TERMINAL VOLTAGE OF A CELL

93. What is the terminal voltage $(V)$ of a cell defined as?

a) The total work done in moving a unit charge inside and outside the cell

b) The work done in moving a unit charge only outside the cell

c) The work done in moving a unit charge only inside the cell

d) The energy stored in the cell per unit charge

94 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

94. In an experiment to verify Ohm’s law, what is the relationship between voltage (\$V\$) and current (\$I\$) for an ohmic conductor?

a) Directly proportional

b) Inversely proportional

c) Exponentially related

d) No relation

95 / 360

Category: ELECTRICAL ENERGY

95. An appliance consumes electrical energy at the rate of 500 W for 4 hours every day. How much total energy is consumed in 15 days in kWh?

a) 10 kWh

b) 20 kWh

c) 30 kWh

d) 40 kWh

96 / 360

Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

96. (A) The charge on a body is quantized because it can only exist as an integer multiple of the elementary charge $e$.
(R) The elementary charge $e$ is the smallest possible charge that can exist independently.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

97 / 360

Category: Current (I)

97. Calculate the current if a charge of $10 \text{ C}$ flows through a conductor in $5 \text{ s}$.

a) 0.5 A

b) 1 A

c) 2 A

d) 5 A

98 / 360

Category: Material of the Conductor

98. A wire made of manganin has a resistance of 100 $\Omega$ at room temperature. If the temperature is increased by 200$^\circ$C, what will be its new resistance? (Given: Manganin has negligible temperature coefficient of resistance.)

a) 100 $\Omega$

b) 102 $\Omega$

c) 98 $\Omega$

d) 104 $\Omega$

99 / 360

Category: Statement of Ohm’s Law:

99. (A) The $V-I$ graph for a filament bulb is not a straight line passing through the origin.

(R) The resistance of a filament bulb increases with temperature, causing it to be a non-ohmic resistor.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

100 / 360

Category: Combination of resistors in parallel

100. A battery supplies 6 A current to a parallel combination of 3 Ω and 6 Ω resistors. What is the current through the 3 Ω resistor?

a) 2 A

b) 3 A

c) 4 A

d) 6 A

101 / 360

Category: Combination of Resistors

101. Two resistors of $4 \Omega$ and $12 \Omega$ are connected in parallel. What is the equivalent resistance of the combination?

a) $2 \Omega$

b) $3 \Omega$

c) $8 \Omega$

d) $16 \Omega$

102 / 360

Category: Area of Cross-Section

102. A solid has a base in the shape of an equilateral triangle with side length $a$. The cross-sections perpendicular to the base are semicircles. What is the volume of the solid?

a) $\frac{\pi a^3}{16\sqrt{3}}$

b) $\frac{\pi a^3}{24\sqrt{3}}$

c) $\frac{\pi a^3}{32\sqrt{3}}$

d) $\frac{\pi a^3}{48\sqrt{3}}$

103 / 360

Category: Practical Applications of Electrical Concepts

103. (A) The resistance of a 100 W, 220 V electric bulb when glowing is $484 \Omega$.

(R) The resistance of the filament increases with temperature, and the power rating formula $R = \frac{V^2}{P}$ gives the resistance at operating temperature.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

104 / 360

Category: Unit of Resistance

104. A conductor has a resistance of 10 $\Omega$ when a current of 2 A flows through it. What is the potential difference across the conductor?

a) 5 V

b) 10 V

c) 15 V

d) 20 V

105 / 360

Category: Electrical Power and Energy

105. (A) In a household circuit, an appliance rated at 220 V and 1000 W will consume more energy when connected to a 110 V supply for the same duration of time compared to when it is connected to a 220 V supply.
(R) The power consumed by an electrical appliance is directly proportional to the square of the voltage applied across it, given a constant resistance.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

106 / 360

Category: Resistors in Parallel:

106. In a circuit, two resistors $R_1 = 6\,\Omega$ and $R_2 = 3\,\Omega$ are connected in parallel. If the total current drawn from the battery is $9\,A$, what is the current through $R_2$?

a) $3\,A$

b) $6\,A$

c) $1.5\,A$

d) $4.5\,A$

107 / 360

Category: Combination of Resistors

107. Two resistors of resistances 12 Ω and 6 Ω are connected in parallel. What is their equivalent resistance?

a) 2 Ω

b) 4 Ω

c) 6 Ω

d) 8 Ω

108 / 360

Category: Factors affecting the resistance of a conductor

108. What happens to the resistance of a wire if its cross-sectional area becomes four times larger?

a) It remains the same

b) It doubles

c) It becomes half

d) It reduces to one-fourth

109 / 360

Category: TERMINAL VOLTAGE OF A CELL

109. If the work done in carrying a test charge $q$ through the electrolyte inside a cell is $w$, the voltage drop $v$ across the cell is given by:

a) $v = w \cdot q$

b) $v = \frac{q}{w}$

c) $v = \frac{w}{q}$

d) $v = w + q$

110 / 360

Category: Practical Applications of Electrical Concepts

110. A device is rated 1000 W - 220 V. What is the safe current that can flow through it?

a) 2.27 A

b) 3.64 A

c) 4.55 A

d) 5.50 A

111 / 360

Category: Material of the Conductor

111. What is the formula for calculating specific resistance (\$\rho\$) of a material?

a) $\rho = \frac{l}{R \cdot a}$

b) $\rho = R \cdot l \cdot a$

c) $\rho = \frac{R \cdot a}{l}$

d) $\rho = \frac{a}{R \cdot l}$

112 / 360

Category: Charge (Q)

112. (A) A body with an excess of electrons will carry a negative charge.
(R) Electrons carry a negative charge, and any excess or deficit of these particles determines the overall charge on the body.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

113 / 360

Category: Commercial Energy Consumption

113. An electric bulb rated 60 W, 220 V is used for 10 hours daily. What is the energy consumed by the bulb in 15 days in kilowatt-hour (kWh)?

a) 0.9 kWh

b) 6 kWh

c) 9 kWh

d) 90 kWh

114 / 360

Category: Current (I)

114. In a circuit, the charge flowing through a resistor varies with time as $Q(t) = 4t^2 + 2t \, \text{C}$, where $t$ is in seconds. What is the current at $t = 3 \, \text{s}$?

a) $14 \, \text{A}$

b) $26 \, \text{A}$

c) $30 \, \text{A}$

d) $38 \, \text{A}$

115 / 360

Category: Material of the Conductor

115. Which of the following statements is true regarding superconductors?

a) Superconductors can be used to make ultra-thin power lines at room temperature.

b) Superconductors have infinite conductivity only at high temperatures.

c) Superconductors are commonly used in household wiring due to their ease of cooling.

d) Superconductors exhibit zero resistance below a critical temperature.

116 / 360

Category: ELECTRICAL ENERGY

116. An electric heater has a power rating of 2000 W and is used for 3 hours daily. If the cost of electricity is Rs.5 per kWh, what is the monthly cost of using the heater?

a) Rs.450

b) Rs.600

c) Rs.900

d) Rs.1200

117 / 360

Category: Length of the Conductor

117. A wire of resistance $R$ is stretched such that its length becomes three times its original length while maintaining constant volume. What is the new resistance of the wire?

a) $R$

b) $3R$

c) $6R$

d) $9R$

118 / 360

Category: TERMINAL VOLTAGE OF A CELL

118. When a cell delivers a current of 2 A, its terminal voltage is 9 V. If the current increases to 5 A, and the internal resistance of the cell is 0.5 $\Omega$, what will be the new terminal voltage? Assume the EMF remains constant.

a) 6.5 V

b) 7.0 V

c) 7.5 V

d) 8.0 V

119 / 360

Category: Commercial Energy Consumption

119. (A) The cost of electricity for a 1 kW appliance used for 5 hours daily at Rs.5 per kWh is Rs.25 per day.
(R) The electrical energy consumed by an appliance can be calculated using the formula $Energy (in kWh) = power (in kW) \times time (in h)$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

120 / 360

Category: TERMINAL VOLTAGE OF A CELL

120. The terminal voltage of a cell is equal to its e.m.f. when:

a) The cell is connected to a high-resistance voltmeter.

b) No current is drawn from the cell.

c) The cell is fully charged.

d) The internal resistance of the cell is zero.

121 / 360

Category: Combination of Resistors

121. Three resistors of resistances 4 Ω, 6 Ω, and 8 Ω are connected in series. What is the equivalent resistance of the combination?

a) 10 Ω

b) 14 Ω

c) 18 Ω

d) 24 Ω

122 / 360

Category: Length of the Conductor

122. What is the correct formula for calculating the resistance of a conductor?

a) $R = \frac{\rho A}{l}$

b) $R = \rho \frac{A}{l}$

c) $R = \rho \frac{l}{A}$

d) $R = \frac{l}{\rho A}$

123 / 360

Category: Unit of Resistance

123. Convert 2 kilo-ohms to ohms.

a) 20 $\Omega$

b) 200 $\Omega$

c) 2000 $\Omega$

d) 20000 $\Omega$

124 / 360

Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

124. A charge of 5 C is moved between two points in an electric field, and the work done is 25 J. What is the potential difference between the two points?

a) 2 V

b) 5 V

c) 10 V

d) 20 V

125 / 360

Category: Resistors in Parallel:

125. (A) The equivalent resistance of three resistors $R_1 = 2\Omega$, $R_2 = 4\Omega$, and $R_3 = 6\Omega$ connected in parallel is less than $2\Omega$.
(R) In a parallel combination, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of individual resistances.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

126 / 360

Category: Combination of Resistors

126. A $6 \Omega$ resistor is connected in series with a parallel combination of two $6 \Omega$ resistors. What is the total equivalent resistance?

a) $6 \Omega$

b) $9 \Omega$

c) $12 \Omega$

d) $18 \Omega$

127 / 360

Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

127. A 100 W bulb is connected to a 220 V supply. What is the resistance of its filament when glowing?

a) 220 Ω

b) 420 Ω

c) 484 Ω

d) 550 Ω

128 / 360

Category: Charge (Q)

128. A body has a charge of $+3.2 \times 10^{-19} C$. How many electrons are in deficit to produce this charge?

a) 1

b) 2

c) 3

d) 4

129 / 360

Category: Combination of Resistors

129. (A) In a circuit with three resistors, when two resistors are connected in parallel and this combination is connected in series with the third resistor, the equivalent resistance of the entire circuit will always be greater than the smallest individual resistor.
(R) The equivalent resistance of resistors in parallel is always less than the smallest resistor in the combination.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

Key Concept: Combination of resistors in series and parallel

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
Let's analyze the assertion and reason step by step.
1. First, consider the parallel combination of two resistors $R_1$ and $R_2$. The equivalent resistance $R_p$ of these two resistors in parallel is given by:
$\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2}$
Simplifying this, we get:
$R_p = \frac{R_1 R_2}{R_1 + R_2}$
Here, $R_p$ is always less than both $R_1$ and $R_2$ because the denominator $(R_1 + R_2)$ is greater than either $R_1$ or $R_2$. This supports the reason statement.
2. Now, this parallel combination is connected in series with the third resistor $R_3$. The total equivalent resistance $R_{eq}$ of the circuit is:
$R_{eq} = R_p + R_3 = \frac{R_1 R_2}{R_1 + R_2} + R_3$
Since $R_p < R_1$ and $R_p < R_2$, but we are adding $R_3$ to $R_p$, it is possible that $R_{eq}$ could be greater than at least one of the resistors in the circuit if $R_3$ is large enough. However, the assertion claims that $R_{eq}$ will always be greater than the smallest individual resistor, which may not necessarily be true if the smallest resistor is $R_3$.
For example, let $R_1 = 4 \Omega$, $R_2 = 4 \Omega$, and $R_3 = 1 \Omega$. Then,
$R_p = \frac{4 \times 4}{4 + 4} = 2 \Omega$
And $R_{eq} = 2 + 1 = 3 \Omega$. Here, $3 \Omega$ is greater than the smallest resistor $R_3 = 1 \Omega$, so the assertion holds.
But if $R_1 = 1 \Omega$, $R_2 = 1 \Omega$, and $R_3 = 4 \Omega$, then:
$R_p = \frac{1 \times 1}{1 + 1} = 0.5 \Omega$
And $R_{eq} = 0.5 + 4 = 4.5 \Omega$. Here, $4.5 \Omega$ is greater than the smallest resistor $R_1 = 1 \Omega$, so the assertion still holds.
From these examples, it appears that the assertion is true under most conditions where the smallest resistor is part of the parallel combination. The reason correctly explains why the parallel combination results in a lower resistance, supporting the assertion when the smallest resistor is in the parallel branch. Therefore, both the assertion and reason are true, and the reason correctly explains the assertion.

Your Answer is correct.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
Let's analyze the assertion and reason step by step.
1. First, consider the parallel combination of two resistors $R_1$ and $R_2$. The equivalent resistance $R_p$ of these two resistors in parallel is given by:
$\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2}$
Simplifying this, we get:
$R_p = \frac{R_1 R_2}{R_1 + R_2}$
Here, $R_p$ is always less than both $R_1$ and $R_2$ because the denominator $(R_1 + R_2)$ is greater than either $R_1$ or $R_2$. This supports the reason statement.
2. Now, this parallel combination is connected in series with the third resistor $R_3$. The total equivalent resistance $R_{eq}$ of the circuit is:
$R_{eq} = R_p + R_3 = \frac{R_1 R_2}{R_1 + R_2} + R_3$
Since $R_p < R_1$ and $R_p < R_2$, but we are adding $R_3$ to $R_p$, it is possible that $R_{eq}$ could be greater than at least one of the resistors in the circuit if $R_3$ is large enough. However, the assertion claims that $R_{eq}$ will always be greater than the smallest individual resistor, which may not necessarily be true if the smallest resistor is $R_3$.
For example, let $R_1 = 4 \Omega$, $R_2 = 4 \Omega$, and $R_3 = 1 \Omega$. Then,
$R_p = \frac{4 \times 4}{4 + 4} = 2 \Omega$
And $R_{eq} = 2 + 1 = 3 \Omega$. Here, $3 \Omega$ is greater than the smallest resistor $R_3 = 1 \Omega$, so the assertion holds.
But if $R_1 = 1 \Omega$, $R_2 = 1 \Omega$, and $R_3 = 4 \Omega$, then:
$R_p = \frac{1 \times 1}{1 + 1} = 0.5 \Omega$
And $R_{eq} = 0.5 + 4 = 4.5 \Omega$. Here, $4.5 \Omega$ is greater than the smallest resistor $R_1 = 1 \Omega$, so the assertion still holds.
From these examples, it appears that the assertion is true under most conditions where the smallest resistor is part of the parallel combination. The reason correctly explains why the parallel combination results in a lower resistance, supporting the assertion when the smallest resistor is in the parallel branch. Therefore, both the assertion and reason are true, and the reason correctly explains the assertion.

130 / 360

Category: Combination of Resistors

130. What is the equivalent resistance when two resistors of $4 \Omega$ and $4 \Omega$ are connected in parallel?

a) $1 \Omega$

b) $2 \Omega$

c) $4 \Omega$

d) $8 \Omega$

131 / 360

Category: Practical Applications of Electrical Concepts

131. A 60 W electric bulb is rated for 250 V. If the line voltage drops to 200 V, what will be the power consumed by the bulb?

a) 48 W

b) 38.4 W

c) 60 W

d) 24 W

132 / 360

Category: Potential Difference (P.D.)

132. If 50 joules of work is done in moving a charge of 10 coulombs from point A to point B, what is the potential difference between points A and B?

a) 2 V

b) 5 V

c) 10 V

d) 20 V

133 / 360

Category: Combination of Resistors

133. Three resistors with resistances $R_1 = 2\,\Omega$, $R_2 = 4\,\Omega$, and $R_3 = 6\,\Omega$ are connected in series across a battery of emf 12 V. What is the potential difference across the $4\,\Omega$ resistor?

a) 2 V

b) 3 V

c) 4 V

d) 6 V

134 / 360

Category: Combination of resistors in parallel

134. If three resistors $R_1 = 1 \Omega$, $R_2 = 2 \Omega$, and $R_3 = 4 \Omega$ are connected in parallel across a battery, which resistor will have the highest current?

a) $R_1 = 1 \Omega$

b) $R_2 = 2 \Omega$

c) $R_3 = 4 \Omega$

d) All will have equal current

135 / 360

Category: Internal Resistance of a Cell

135. (A) The terminal voltage of a cell decreases when the current drawn from it increases.

(R) The internal resistance of a cell causes a voltage drop proportional to the current flowing through it.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

136 / 360

Category: Factors affecting the resistance of a conductor

136. A copper wire of length $l$, cross-sectional area $a$, and resistance $R$ at temperature $T_1$ is heated to a higher temperature $T_2$. If the wire's length is doubled and its radius is halved, while keeping the material constant, what will be the new resistance at temperature $T_2$ assuming the temperature coefficient of resistance is negligible?

a) $2R$

b) $4R$

c) $6R$

d) $8R$

137 / 360

Category: Area of Cross-Section

137. (A) If the area of cross-section of a wire is doubled, its resistance becomes half.
(R) The resistance of a wire is inversely proportional to its area of cross-section.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

138 / 360

Category: Potential Difference (P.D.)

138. (A) The terminal voltage of a cell is always less than its e.m.f. when current is drawn from it.
(R) Some energy is spent in overcoming the internal resistance of the cell, resulting in a voltage drop inside the cell.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

139 / 360

Category: Factors Affecting Internal Resistance:

139. (A) Increasing the temperature of the electrolyte decreases the internal resistance of a cell.
(R) Higher temperature increases the mobility of ions in the electrolyte, reducing resistance.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

140 / 360

Category: Factors Affecting Internal Resistance:

140. Which of the following statements is true about the distance between the electrodes and internal resistance?

a) More the distance, less is the internal resistance

b) Distance between electrodes does not affect internal resistance

c) More the distance, greater is the internal resistance

d) Less the distance, greater is the internal resistance

141 / 360

Category: Potential Difference (P.D.)

141. What is the electric potential at a point if 30 joules of work is done to bring a charge of 6 coulombs from infinity to that point?

a) 3 V

b) 5 V

c) 6 V

d) 10 V

142 / 360

Category: Internal Resistance of a Cell

142. A battery with an e.m.f. of $10 \, \text{V}$ and internal resistance $1 \, \Omega$ is connected to a $4 \, \Omega$ resistor. What is the terminal voltage across the battery?

a) $6 \, \text{V}$

b) $7 \, \text{V}$

c) $8 \, \text{V}$

d) $9 \, \text{V}$

143 / 360

Category: Factors Affecting Resistance

143. (A) The resistance of a copper wire increases when its length is doubled.
(R) Resistance is directly proportional to the length of the conductor.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

144 / 360

Category: ELECTRICAL ENERGY

144. What is the power consumed by a device if it operates at 220 V and draws a current of 5 A?

a) 200 W

b) 1000 W

c) 1100 W

d) 1200 W

145 / 360

Category: Length of the Conductor

145. (A) If the length of a conductor is doubled, its resistance also doubles.
(R) The resistance of a conductor is directly proportional to its length, given by $R \propto l$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

146 / 360

Category: Potential Difference (P.D.)

146. (A) The potential difference between two points is a scalar quantity.
(R) Potential difference is defined as the work done per unit charge, and work is a scalar quantity.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

147 / 360

Category: Area of Cross-Section

147. A wire is bent into the shape of the curve $y = x^2$ from $x = -1$ to $x = 1$. If the cross-sectional area of the wire varies as $A(x) = 2 + e^{-x^2}$, what is the total volume of the wire?

a) 4.2

b) 4.4

c) 4.8

d) 5.0

148 / 360

Category: Current (I)

148. If a charge of $5 C$ flows through a conductor in 10 seconds, what is the current flowing through it?

a) 0.05 A

b) 0.5 A

c) 1 A

d) 2 A

149 / 360

Category: TERMINAL VOLTAGE OF A CELL

149. What causes a voltage drop $(v)$ inside a cell when current is drawn from it?

a) Resistance of the external circuit

b) Work done in moving charge through the electrolyte

c) Magnetic field around the cell

d) Temperature difference in the cell

150 / 360

Category: Practical Applications of Electrical Concepts

150. A 100 W electric bulb is connected to a 220 V supply. How much electrical energy is converted into light and heat energy in 5 minutes?

a) 5000 J

b) 30000 J

c) 15000 J

d) 20000 J

151 / 360

Category: TERMINAL VOLTAGE OF A CELL

151. A cell with an EMF of 12 V has a terminal voltage of 10.8 V when connected to an external circuit. What is the voltage drop inside the cell?

a) 0.6 V

b) 1.2 V

c) 1.8 V

d) 2.4 V

152 / 360

Category: Current (I)

152. What is the SI unit of electric current?

a) Ohm (Omega)

b) Volt (V)

c) Coulomb (C)

d) Ampere (A)

153 / 360

Category: Electrical Energy and Power Consumption

153. An electric bulb rated 60 W is used for 5 hours daily. What is the energy consumed by the bulb in 30 days, in kilowatt-hour (kWh)?

a) 4.5 kWh

b) 6 kWh

c) 9 kWh

d) 12 kWh

154 / 360

Category: Ohm’s Law

154. Which of the following materials is an example of an ohmic resistor?

a) Junction diode

b) Filament of a bulb

c) Copper wire

d) Solar cell

155 / 360

Category: Factors Affecting Resistance

155. A wire of length $l$ and cross-sectional area $A$ has a resistance $R$. If the wire is stretched such that its length becomes $3l$, what will be its new resistance? (Assume volume remains constant.)

a) $3R$

b) $6R$

c) $9R$

d) $27R$

156 / 360

Category: Area of Cross-Section

156. What is the relationship between conductivity ($\sigma$) and specific resistance ($\rho$)?

a) $\sigma = \rho$

b) $\sigma = \frac{1}{\rho}$

c) $\sigma = \rho^2$

d) $\sigma = \frac{\rho}{2}$

157 / 360

Category: Potential Difference (P.D.)

157. (A) The terminal voltage of a cell is always equal to its e.m.f.
(R) The voltage drop inside the cell is zero when current is drawn from it.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

158 / 360

Category: Internal Resistance of a Cell

158. (A) The terminal voltage of a cell increases when the current drawn from it decreases.
(R) The internal resistance of a cell causes a voltage drop proportional to the current drawn.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

159 / 360

Category: Combination of resistors in series

159. Four resistors $R_1 = 2 \Omega$, $R_2 = 4 \Omega$, $R_3 = 6 \Omega$, and $R_4 = 8 \Omega$ are connected in series. A battery is connected across the combination, and the potential difference across $R_2$ is measured to be $8 V$. What is the total voltage supplied by the battery?
$V = IR_s$

a) $16 V$

b) $20 V$

c) $32 V$

d) $40 V$

160 / 360

Category: TERMINAL VOLTAGE OF A CELL

160. For a cell with e.m.f. $E$, terminal voltage $V$, and internal voltage drop $v$, which equation correctly represents their relationship?

a) $E = V - v$

b) $V = E + v$

c) $E = V + v$

d) $V = E \cdot v$

161 / 360

Category: Combination of resistors in series

161. Two resistors $R_1 = 5 \Omega$ and $R_2 = 10 \Omega$ are connected in series to a voltage source. If the power dissipated in $R_1$ is $20 W$, what is the total power dissipated in the circuit?
$P = I^2 R$

a) $30 W$

b) $45 W$

c) $60 W$

d) $80 W$

162 / 360

Category: CHOICE OF MATERIAL OF A WIRE

162. A heating element for an electric oven must operate at 1000°C without melting and have high resistance to minimize current for a given power output. Which material is most suitable for this purpose?

a) Copper

b) Aluminium

c) Tungsten

d) Nichrome

163 / 360

Category: Electrical Power and Energy

163. A device is labeled as "$200 W - 240 V$". What is the maximum safe current that can flow through this device without damaging it?

a) $0.633 A$

b) $0.733 A$

c) $0.833 A$

d) $0.933 A$

164 / 360

Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

164. (A) Doubling the resistance in a circuit while keeping the current constant will quadruple the energy dissipated.

(R) The energy dissipated in a resistor is given by $W = I^2Rt$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

165 / 360

Category: Practical Applications of Electrical Concepts

165. An electric heater is rated 1500 W - 220 V. What is the resistance of its heating element when it is in use?

a) 32.27 $\Omega$

b) 48.40 $\Omega$

c) 64.53 $\Omega$

d) 16.13 $\Omega$

166 / 360

Category: Ohm’s Law

166. (A) The resistance of a conductor decreases as its temperature increases.
(R) For ohmic resistors, the $V-I$ curve is linear and passes through the origin.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

167 / 360

Category: Length of the Conductor

167. Which of the following statements about specific resistance is true?

a) It increases with increase in length of the conductor.

b) It decreases with increase in cross-sectional area of the conductor.

c) It depends on the shape of the conductor.

d) It is independent of the dimensions of the conductor.

168 / 360

Category: Material of the Conductor

168. (A) Copper is used for electrical connections because its specific resistance is very low.
(R) The resistance of a conductor is inversely proportional to its area of cross section.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

169 / 360

Category: Unit of Resistance

169. A wire of length 2 m and cross-sectional area $4 \times 10^{-6} \, m^2$ has a resistance of 3 $\Omega$. What is its resistivity?

a) $1.5 \times 10^{-6} \, \Omega m$

b) $6 \times 10^{-6} \, \Omega m$

c) $12 \times 10^{-6} \, \Omega m$

d) $24 \times 10^{-6} \, \Omega m$

170 / 360

Category: Electrical Energy and Power Consumption

170. A refrigerator rated 150 W is used for 24 hours daily for a month (30 days). If electricity costs Rs.5 per kWh, what is the total cost of electricity consumed by the refrigerator in the month?

a) Rs.54

b) Rs.180

c) Rs.360

d) Rs.540

171 / 360

Category: ELECTRICAL ENERGY

171. A refrigerator has a power rating of $250 W$. If it runs for 8 hours per day, what is the energy consumed in one month (30 days) in kilowatt-hours (kWh)?

a) 6 kWh

b) 60 kWh

c) 600 kWh

d) 240 kWh

172 / 360

Category: Charge (Q)

172. Convert $5000 \mu C$ to coulombs (C).

a) $0.05 \, C$

b) $0.005 \, C$

c) $50 \, C$

d) $5 \, C$

173 / 360

Category: Area of Cross-Section

173. (A) Doubling the area of cross-section of a conductor reduces its resistance to half of the original value.
(R) Resistance is inversely proportional to the area of cross-section of the conductor.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

174 / 360

Category: Electrical Power and Energy

174. A bulb rated 60 W - 220 V is used for 5 hours daily. What is the energy consumed in kWh in 30 days?

a) 6 kWh

b) 9 kWh

c) 12 kWh

d) 15 kWh

175 / 360

Category: Ohm’s Law

175. What is the SI unit of resistance?

a) Volt (V)

b) Ampere (A)

c) Ohm ($\Omega$)

d) Watt (W)

176 / 360

Category: Combination of Resistors

176. Three resistors of resistances $2\,\Omega$, $4\,\Omega$, and $6\,\Omega$ are connected as follows: the $2\,\Omega$ and $4\,\Omega$ resistors are in parallel, and this combination is connected in series with the $6\,\Omega$ resistor. What is the equivalent resistance of the entire circuit?

a) $\frac{8}{3}\Omega$

b) $\frac{10}{3}\Omega$

c) $\frac{22}{3}\Omega$

d) $12\Omega$

177 / 360

Category: Ohm’s Law

177. For an ohmic conductor, what does the slope of the current ($I$) versus voltage ($V$) graph represent?

a) Resistance $R$

b) Conductance $\frac{1}{R}$

c) Current density $J$

d) Power dissipation $P$

178 / 360

Category: Electrical Energy and Power Consumption

178. If an electric oven consumes 180 kWh of energy in a month at a cost of Rs.5 per kWh, what is the total electricity bill for that month?

a) Rs.450

b) Rs.720

c) Rs.900

d) Rs.1080

179 / 360

Category: TERMINAL VOLTAGE OF A CELL

179. When a cell is in use, how does its terminal voltage $(V)$ compare to its e.m.f. $(E)$?

a) $V$ is greater than $E$

b) $V$ is equal to $E$

c) $V$ is less than $E$

d) $V$ is unrelated to $E$

180 / 360

Category: Factors Affecting Resistance

180. Which of the following statements about superconductors is NOT true?

a) They exhibit zero resistance below a critical temperature.

b) They are commonly used in household electronics.

c) Their critical temperature is usually near absolute zero.

d) Niobium becomes superconducting below 9.2 K.

181 / 360

Category: Factors affecting the resistance of a conductor

181. What happens to the resistance of a pure metal when it is heated?

a) It decreases linearly

b) It remains unchanged

c) It increases

d) It decreases exponentially

182 / 360

Category: Combination of resistors in series

182. Three resistors $4 \Omega$, $6 \Omega$, and $10 \Omega$ are connected in series to a battery. If the current through the $4 \Omega$ resistor is $2 A$, what is the current through the $10 \Omega$ resistor?

a) $1 A$

b) $2 A$

c) $4 A$

d) $5 A$

183 / 360

Category: Factors Affecting Resistance

183. What happens to the resistance of a metallic conductor when its temperature increases?

a) Decreases

b) Increases

c) Remains constant

d) Initially decreases then increases

184 / 360

Category: Combination of Resistors

184. Four resistors of $2 \Omega$, $4 \Omega$, $8 \Omega$, and $16 \Omega$ are connected in parallel. What is the current through the $4 \Omega$ resistor if the total current supplied is $15 A$?

a) $1A$

b) $2A$

c) $4A$

d) $8A$

185 / 360

Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

185. If a current of 0.5 A flows through a resistor for 10 seconds, and the resistance is 4 $\Omega$, how much charge passes through the resistor during this time?

a) 2 C

b) 5 C

c) 10 C

d) 20 C

186 / 360

Category: Internal Resistance of a Cell

186. A battery with an e.m.f. of 15 V and internal resistance 2 $\Omega$ is connected to a load resistor $R$. If the power dissipated in the load is maximum, what is the terminal voltage across the battery?

a) 10 V

b) 7.5 V

c) 5 V

d) 12 V

187 / 360

Category: Resistors in Parallel:

187. A battery supplies a total current of 6 A to three parallel-connected resistors of $1 \Omega$, $2 \Omega$, and $3 \Omega$. What is the current through the $2 \Omega$ resistor?

a) $1 \text{ A}$

b) $1.635 \text{ A}$

c) $2 \text{ A}$

d) $3 \text{ A}$

188 / 360

Category: Electrical Power and Energy

188. (A) The electrical energy consumed by an appliance is given by $W = VIt$.
(R) The potential difference ($V$) across a conductor is defined as the work done to move a unit charge through it.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

189 / 360

Category: Combination of Resistors

189. Three resistors of $6 \Omega$, $3 \Omega$, and $2 \Omega$ are connected in parallel, and this combination is connected in series with a $4 \Omega$ resistor. What is the equivalent resistance of the entire circuit?

a) $2 \Omega$

b) $5 \Omega$

c) $7 \Omega$

d) $10 \Omega$

190 / 360

Category: Electrical Power and Energy

190. If the potential difference across a resistor is 100 V and the current through it is 2 A, what is the power dissipated by the resistor?

a) 50 W

b) 100 W

c) 200 W

d) 400 W

191 / 360

Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

191. How many joules are there in 1 kilowatt-hour (kWh)?

a) $3.6 \times 10^3~J$

b) $3600~J$

c) $3.6 \times 10^6~J$

d) $1000~J$

192 / 360

Category: ELECTRICAL ENERGY

192. An electric bulb converts electrical energy primarily into which of the following forms of energy?

a) Only light energy

b) Only heat energy

c) Light energy and heat energy

d) Sound energy and light energy

193 / 360

Category: Material of the Conductor

193. Below which temperature does lead become a superconductor?

a) 4.2 K

b) 7.25 K

c) 9.2 K

d) 10 K

194 / 360

Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

194. (A) The current in a conductor is directly proportional to the number of free electrons passing through it per unit time.
(R) Current is defined as the rate of flow of charge, and free electrons are the charge carriers in conductors.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

195 / 360

Category: Combination of resistors in parallel

195. What is the equivalent resistance of two resistors $R_1 = 2 \Omega$ and $R_2 = 4 \Omega$ connected in parallel?

a) $\frac{1}{6} \Omega$

b) $\frac{4}{3} \Omega$

c) $6 \Omega$

d) $8 \Omega$

196 / 360

Category: Combination of resistors in series

196. Four resistors of equal resistance $2 \Omega$ are connected in series. If the total voltage across the combination is $24 V$, what is the voltage drop across each resistor?

a) $4 V$

b) $6 V$

c) $8 V$

d) $12 V$

197 / 360

Category: Potential Difference (P.D.)

197. Which unit represents potential difference?

a) Newton

b) Joule per second

c) Coulomb

d) Volt

198 / 360

Category: Combination of resistors in series

198. (A) In a series combination of resistors, the equivalent resistance is always greater than the largest individual resistance.
(R) The equivalent resistance in a series combination is the sum of all individual resistances.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

199 / 360

Category: Combination of resistors in series

199. Three resistors of resistances $2 \Omega$, $4 \Omega$, and $6 \Omega$ are connected in series. What is the equivalent resistance of the combination?

a) $8 \Omega$

b) $10 \Omega$

c) $12 \Omega$

d) $14 \Omega$

200 / 360

Category: Potential Difference (P.D.)

200. Which of the following correctly represents the unit of potential difference?

a) Newton per coulomb (N/C)

b) Joule per coulomb (J/C)

c) Coulomb per joule (C/J)

d) Ampere per ohm (A/Ω)

201 / 360

Category: Combination of Resistors

201. You have two resistors, $R_1 = 3\,\Omega$ and $R_2 = 6\,\Omega$, connected in parallel, and this combination is connected in series with a third resistor $R_3 = 2\,\Omega$. If the total voltage across the circuit is $10V$, what is the current through $R_3$?

a) $1A$

b) $1.67A$

c) $2.5A$

d) $5A$

202 / 360

Category: Internal Resistance

202. A battery with e.m.f. 6.0 V and internal resistance 0.8 $\Omega$ is connected to an external resistor of 4 $\Omega$. What is the terminal voltage across the battery?

a) 4.8 V

b) 5.0 V

c) 5.2 V

d) 6.0 V

203 / 360

Category: CHOICE OF MATERIAL OF A WIRE

203. (A) Copper is commonly used for electrical connections and power transmission wires.
(R) Copper has very low specific resistance, which minimizes energy loss due to heating.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

204 / 360

Category: Current (I)

204. (A) If a current of 1 A flows through a conductor for 1 second, the total charge passing through it is 1 C.
(R) Current is defined as the rate of flow of charge, given by $I = \frac{Q}{t}$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

205 / 360

Category: Combination of resistors in series

205. (A) The equivalent resistance of three resistors $2 \Omega$, $4 \Omega$, and $6 \Omega$ connected in series is $12 \Omega$.
(R) In a series combination, the equivalent resistance is the sum of all individual resistances.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

206 / 360

Category: ELECTRICAL ENERGY

206. How many joules are there in 1 kilowatt-hour (kWh)?

a) 360 J

b) 3600 J

c) $3.6 \times 10^5$ J

d) $3.6 \times 10^6$ J

207 / 360

Category: Internal Resistance

207. A cell has an e.m.f. of $5 V$ and an internal resistance of $0.5 \Omega$. If a current of $2 A$ is drawn from the cell, what is the voltage drop across the internal resistance?

a) 0.5 V

b) 1 V

c) 2 V

d) 4 V

208 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

208. (A) The V-I graph for a metallic conductor at constant temperature is a straight line passing through the origin.
(R) Metallic conductors are ohmic resistors and obey Ohm’s law.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

209 / 360

Category: Resistors in Parallel:

209. Three resistors of values $2 \Omega$, $4 \Omega$, and $8 \Omega$ are connected in parallel. What is the equivalent resistance of the combination?

a) $0.5 \Omega$

b) $1.14 \Omega$

c) $2 \Omega$

d) $4 \Omega$

210 / 360

Category: Internal Resistance of a Cell

210. A cell of e.m.f. $2.5 \, \text{V}$ and internal resistance $1.5 \, \Omega$ is connected to an external resistor of $3.5 \, \Omega$. What is the terminal voltage across the cell when current is drawn?

a) 1.25 V

b) 1.50 V

c) 1.75 V

d) 2.00 V

211 / 360

Category: Commercial Energy Consumption

211. A 2000 W electric geyser is used for 3 hours daily. If the cost of electricity is Rs.5 per kWh, what is the total cost for using the geyser for 30 days?

a) Rs.600

b) Rs.900

c) Rs.1200

d) Rs.1500

212 / 360

Category: Combination of Resistors

212. What is the equivalent resistance when three resistors of $2 \Omega$, $3 \Omega$, and $5 \Omega$ are connected in series?

a) $7 \Omega$

b) $10 \Omega$

c) $15 \Omega$

d) $30 \Omega$

213 / 360

Category: CHOICE OF MATERIAL OF A WIRE

213. (A) Silver is not commonly used for electrical wiring despite having lower specific resistance than copper.
(R) The high cost of silver makes it economically unviable for large-scale electrical wiring applications.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

214 / 360

Category: Commercial Energy Consumption

214. An electric fan has a power rating of 80 W. If it runs for 10 hours a day for 30 days at a cost of Rs.5 per kWh, what is the total cost of electricity?

a) Rs.100

b) Rs.120

c) Rs.140

d) Rs.160

215 / 360

Category: Commercial Energy Consumption

215. An electric heater rated 2000 W is used for 2 hours daily, and a 40 W bulb is used for 8 hours daily. If the cost of electricity is Rs. 5 per kWh, what is the total cost for 15 days?

a) Rs. 300

b) Rs. 324

c) Rs. 350

d) Rs. 280

216 / 360

Category: ELECTRICAL ENERGY

216. (A) The electrical energy consumed by an appliance is measured in kilowatt-hours (kWh).
(R) Kilowatt-hour is the unit of electrical power.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

217 / 360

Category: CHOICE OF MATERIAL OF A WIRE

217. A wire made of manganin is heated to 100°C from room temperature (25°C). If its specific resistance at 25°C is $44 \times 10^{-8} \, \Omega \, m$, what will be its new specific resistance at 100°C?

a) $44 \times 10^{-8} \, \Omega \, m$

b) $45.5 \times 10^{-8} \, \Omega \, m$

c) $42.5 \times 10^{-8} \, \Omega \, m$

d) $88 \times 10^{-8} \, \Omega \, m$

218 / 360

Category: Electrical Energy and Power Consumption

218. What is the electrical energy consumed by a 100 W bulb if it is used for 5 hours?

a) 0.05 kWh

b) 0.1 kWh

c) 0.5 kWh

d) 1.0 kWh

219 / 360

Category: Charge (Q)

219. If a body has a deficit of $3 \times 10^{18}$ electrons, what is its charge? ($e = -1.6 \times 10^{-19} \, C$)

a) $-0.48 \, C$

b) $+0.48 \, C$

c) $-4.8 \, C$

d) $+4.8 \, C$

220 / 360

Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

220. (A) An electrical appliance rated 1 kW - 220 V will consume less energy when operated at 110 V for the same duration compared to 220 V.

(R) The power consumed by an electrical appliance is directly proportional to the square of the voltage applied across it.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

221 / 360

Category: Factors affecting the resistance of a conductor

221. Two wires A and B are made of the same material. Wire A has length $2l$ and diameter $d$, while wire B has length $l$ and diameter $2d$. How does the resistance of wire A compare to that of wire B?

a) $R_A = \frac{1}{8}R_B$

b) $R_A = 2R_B$

c) $R_A = 4R_B$

d) $R_A = 8R_B$

222 / 360

Category: Electrical Energy and Power Consumption

222. An electric bulb is rated 60 W - 220 V. What is the resistance of its filament when it is glowing?

a) 120 $\Omega$

b) 330 $\Omega$

c) 484 $\Omega$

d) 807 $\Omega$

223 / 360

Category: Charge (Q)

223. What happens when a body gains electrons?

a) It becomes positively charged

b) It becomes negatively charged

c) It remains neutral

d) It loses all its charge

224 / 360

Category: Charge (Q)

224. Two charges, $+Q$ and $-Q$, are placed near each other. What will be the nature of the force between them?

a) They will repel each other

b) They will attract each other

c) There will be no force between them

d) The force cannot be determined without distance

225 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

225. In an experiment to verify Ohm’s law, a student plots the potential difference ($V$) against current ($I$) for a metallic conductor. The slope of the resulting straight-line graph is found to be 5 $\Omega$. If the temperature of the conductor increases during the experiment due to Joule heating, what will be the effect on the slope of the $V-I$ graph?

a) The slope remains unchanged because Ohm's law is independent of temperature.

b) The slope decreases because resistance decreases with increasing temperature.

c) The slope increases because resistance increases with increasing temperature.

d) The slope becomes zero as the conductor becomes non-ohmic at higher temperatures.

226 / 360

Category: Current (I)

226. (A) The current in a conductor remains constant even if the cross-sectional area of the conductor varies along its length.
(R) Current is a scalar quantity and depends only on the rate of flow of charge, not on the dimensions of the conductor.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

227 / 360

Category: CHOICE OF MATERIAL OF A WIRE

227. Why is a lead-tin alloy commonly used for fuse wires?

a) Low melting point and high specific resistance

b) High melting point and low specific resistance

c) Excellent conductivity

d) High durability

228 / 360

Category: Length of the Conductor

228. A wire of resistance $4 \, \Omega$ is stretched such that its length becomes twice its original length. What is its new resistance?

a) $8 \, \Omega$

b) $12 \, \Omega$

c) $16 \, \Omega$

d) $20 \, \Omega$

229 / 360

Category: Internal Resistance of a Cell

229. Which of the following will decrease the internal resistance of a cell?

a) Decreasing the temperature of the cell

b) Increasing the distance between the electrodes

c) Using an electrolyte with lower conductivity

d) Increasing the temperature of the cell

230 / 360

Category: Material of the Conductor

230. At what temperature range do superconductors exhibit zero resistance?

a) Near boiling point of water (373 K)

b) At room temperature (298 K)

c) Near freezing point of water (273 K)

d) Near absolute zero (below 10 K)

231 / 360

Category: Combination of Resistors

231. Three resistors of $2\,\Omega$, $3\,\Omega$, and $6\,\Omega$ are connected in parallel. What is their equivalent resistance?

a) 1 $\Omega$

b) 2 $\Omega$

c) 3 $\Omega$

d) 11 $\Omega$

232 / 360

Category: Unit of Resistance

232. (A) The unit of resistance is ohm ($\Omega$).
(R) One ohm is defined as the resistance when a potential difference of 1 volt produces a current of 1 ampere.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

233 / 360

Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

233. (A) The electrical energy dissipated by a resistor is directly proportional to the square of the current passing through it.
(R) According to Joule's law, the heat produced in a resistor is given by $H = I^2 R t$, where $I$ is the current and $R$ is the resistance.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

234 / 360

Category: Commercial Energy Consumption

234. A refrigerator consumes 150 W and runs continuously for 24 hours. What is the energy consumed in joules if 1 kWh = $3.6 \times 10^6$ J?

a) $1.296 \times 10^5$ J

b) $1.296 \times 10^6$ J

c) $1.296 \times 10^7$ J

d) $1.296 \times 10^8$ J

235 / 360

Category: Resistors in Parallel:

235. (A) The equivalent resistance of a parallel combination of resistors is always less than the smallest individual resistance in the combination.
(R) In a parallel combination, the total current divides among the resistors inversely proportional to their resistances.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

236 / 360

Category: Length of the Conductor

236. A material has a specific resistance of $2 \times 10^{-8} \, \Omega \cdot m$. What is its conductivity?

a) $5 \times 10^{-8} \, S \cdot m^{-1}$

b) $2 \times 10^7 \, S \cdot m^{-1}$

c) $5 \times 10^7 \, S \cdot m^{-1}$

d) $2 \times 10^{-7} \, S \cdot m^{-1}$

237 / 360

Category: Internal Resistance

237. A cell with e.m.f. $6 V$ and internal resistance $1 \Omega$ is connected to an external resistor of $5 \Omega$. What is the terminal voltage of the cell?

a) 3 V

b) 4 V

c) 5 V

d) 6 V

238 / 360

Category: Resistors in Parallel:

238. What is the equivalent resistance when three resistors of $2\,\Omega$, $4\,\Omega$, and $8\,\Omega$ are connected in parallel?

a) $1.14\,\Omega$

b) $1.33\,\Omega$

c) $2.00\,\Omega$

d) $0.875\,\Omega$

239 / 360

Category: Current (I)

239. A conductor carries a current of 2 A. How many electrons pass through its cross-section in 5 seconds?

a) $3.125 \times 10^{19}$

b) $6.25 \times 10^{19}$

c) $1.25 \times 10^{20}$

d) $2.5 \times 10^{19}$

240 / 360

Category: Potential Difference (P.D.)

240. Two points $A$ and $B$ are located in an electric field such that $50 \text{ J}$ of work is done to move $5 \text{ C}$ charge from $A$ to $B$. If the potential at point $A$ is $10 \text{ V}$, what is the potential at point $B$?

a) $5 \text{ V}$

b) $10 \text{ V}$

c) $15 \text{ V}$

d) $20 \text{ V}$

241 / 360

Category: Factors Affecting Internal Resistance:

241. How does increasing the ionic nature of the electrolyte affect the internal resistance of a cell?

a) Increases internal resistance

b) Decreases internal resistance

c) No effect on internal resistance

d) Initially increases then decreases

242 / 360

Category: Factors Affecting Resistance

242. Which of the following materials is likely to have the highest specific resistance at room temperature?

a) Copper

b) Silver

c) Silicon

d) Rubber

243 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

243. In an experiment, two wires are tested for Ohm’s law compliance. Wire X has a linear $V-I$ graph, while Wire Y shows a non-linear graph. Which statement is correct?

a) Both wires X and Y obey Ohm’s law.

b) Wire X is non-ohmic because its resistance varies with temperature.

c) Wire Y follows Ohm’s law better than Wire X.

d) Wire X obeys Ohm’s law, whereas Wire Y does not.

244 / 360

Category: Practical Applications of Electrical Concepts

244. (A) An electric heater converts electrical energy into heat energy.
(R) The heating element of an electric heater has high resistance, which causes it to heat up when current passes through it.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

245 / 360

Category: Unit of Resistance

245. Which of the following represents the correct relationship between conductance and resistance?

a) Conductance = R

b) Conductance = $R^2$

c) Conductance = $\frac{1}{R}$

d) Conductance = $\sqrt{R}$

246 / 360

Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

246. What is the charge on a body if it has an excess of $3 \times 10^{18}$ electrons?

a) $-4.8\,C$

b) $-0.48\,C$

c) $+0.48\,C$

d) $+4.8\,C$

247 / 360

Category: Material of the Conductor

247. (A) Superconductors are used for power transmission lines to minimize energy loss due to heating.
(R) Superconductors exhibit zero resistance at very low temperatures.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

248 / 360

Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

248. The work done to move a charge of $5 \, C$ from point A to point B is $25 \, J$. What is the potential difference between points A and B?

a) $4 \, V$

b) $5 \, V$

c) $6 \, V$

d) $7 \, V$

249 / 360

Category: Commercial Energy Consumption

249. An electric bulb is rated 100 W at 220 V. If the voltage drops to 200 V, what is the approximate power consumed by the bulb? Assume the resistance remains constant.

a) 90 W

b) 83 W

c) 75 W

d) 110 W

250 / 360

Category: Internal Resistance

250. (A) The terminal voltage of a cell decreases when the current drawn from it increases.
(R) The internal resistance of the cell causes a voltage drop proportional to the current.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

251 / 360

Category: Practical Applications of Electrical Concepts

251. An electric kettle is rated 2000 W - 220 V. What is the safe limit of current that can flow through the kettle while in use?

a) 4.55 A

b) 9.09 A

c) 13.64 A

d) 18.18 A

252 / 360

Category: Electrical Power and Energy

252. An electric heater consumes 1.2 kWh of energy in 30 minutes. What is the power rating of the heater?

a) 1.2 kW

b) 2.0 kW

c) 2.4 kW

d) 3.0 kW

253 / 360

Category: Combination of Resistors

253. A combination consists of two resistors $R_1 = 4\,\Omega$ and $R_2 = 6\,\Omega$ connected in parallel, which is then connected in series with a resistor $R_3 = 5\,\Omega$. If a voltage of 10 V is applied across the entire circuit, what is the current through $R_3$?

a) 0.5 A

b) 1.0 A

c) 1.35 A

d) 2.0 A

254 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

254. A wire has a resistance of \$10 \Omega\$. If the potential difference across it is \$5 V\$, what is the current flowing through it?

a) 0.1 A

b) 0.5 A

c) 2 A

d) 5 A

255 / 360

Category: Statement of Ohm’s Law:

255. A filament bulb has a non-linear $V-I$ relationship given by $V = kI^2$, where $k = 10\;\Omega/A$. What is the power dissipated when a current of $1A$ flows through it?

a) $5\;W$

b) $10\;W$

c) $15\;W$

d) $20\;W$

256 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

256. Which of the following does NOT obey Ohm’s law?

a) Copper wire

b) Nichrome wire

c) LED

d) Silver wire

257 / 360

Category: Ohm’s Law

257. For an ohmic resistor, the slope of the $I-V$ graph is found to be $0.02 \, \text{A/V}$. What is the resistance of this resistor?

a) $0.02 \, \Omega$

b) $5 \, \Omega$

c) $50 \, \Omega$

d) $500 \, \Omega$

258 / 360

Category: Electrical Power and Energy

258. A bulb is rated $100\, W - 220\, V$. What is its resistance when glowing?

a) $220 \, \Omega$

b) $484 \, \Omega$

c) $100 \, \Omega$

d) $48.4 \, \Omega$

259 / 360

Category: Factors affecting the resistance of a conductor

259. (A) The resistance of a copper wire increases when it is stretched to double its length.
(R) The resistance of a conductor is inversely proportional to its cross-sectional area.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

260 / 360

Category: Factors Affecting Resistance

260. A conductor has resistance $R_1$ at temperature $T_1$ and $R_2$ at temperature $T_2$ ($T_2 > T_1$). Which of the following correctly describes the relationship between $R_1$ and $R_2$?

a) $R_1 = R_2$

b) $R_1 < R_2$

c) $R_1 > R_2$

d) Cannot be determined without knowing the material

261 / 360

Category: CHOICE OF MATERIAL OF A WIRE

261. What type of material is used for making standard resistors due to their high resistance and minimal change in resistance with temperature?

a) Aluminum

b) Copper

c) Manganin

d) Lead-tin alloy

262 / 360

Category: TERMINAL VOLTAGE OF A CELL

262. (A) The terminal voltage of a cell is always equal to its e.m.f. when the cell is not in use.
(R) When no current is drawn from the cell, there is no voltage drop inside the cell.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

263 / 360

Category: Combination of resistors in parallel

263. Two identical resistors each of 10 Ω are first connected in series and then in parallel. The ratio of their equivalent resistances (series to parallel) is:

a) 1:4

b) 4:1

c) 2:1

d) 1:2

264 / 360

Category: Electrical Power and Energy

264. What is the expression for electrical energy when current $I$ flows through a conductor of resistance $R$ for time $t$ with potential difference $V$?

a) $W = IRt$

b) $W = V^2Rt$

c) $W = VIt$

d) $W = I^2Vt$

265 / 360

Category: Factors Affecting Resistance

265. (A) The resistance of a copper wire increases when its length is doubled.
(R) Resistance is directly proportional to the length of the conductor.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

266 / 360

Category: Combination of Resistors

266. (A) In a series combination of resistors, the equivalent resistance is always greater than any individual resistor in the combination.
(R) The equivalent resistance in a series combination is the sum of all individual resistances.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

267 / 360

Category: Combination of Resistors

267. A circuit has a 5 Ω resistor in series with a parallel combination of two resistors, each 10 Ω. What is the total equivalent resistance?

a) 7.5 Ω

b) 10 Ω

c) 12.5 Ω

d) 15 Ω

268 / 360

Category: Material of the Conductor

268. Which material is commonly used for electrical transmission wires due to its low specific resistance and cost-effectiveness?

a) Silver

b) Aluminium

c) Tungsten

d) Nichrome

269 / 360

Category: Statement of Ohm’s Law:

269. (A) A conductor obeys Ohm’s law if its resistance remains constant with varying potential difference.
(R) For a conductor obeying Ohm’s law, the $I$-$V$ graph is a straight line passing through the origin.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

270 / 360

Category: Combination of resistors in parallel

270. Five identical resistors each of resistance $R$ are connected in parallel. The combination is then connected in series with another resistor of value $2R$. If the equivalent resistance of the entire circuit is 3$\Omega$, what is the value of $R$?

a) $\frac{10}{11}\Omega$

b) $\frac{15}{11}\Omega$

c) $\frac{20}{11}\Omega$

d) $\frac{25}{11}\Omega$

271 / 360

Category: Length of the Conductor

271. A wire has a resistance of $R$ ohms. If its length is increased to three times its original length while keeping the volume constant, what will be its new resistance?

a) $\frac{R}{9}$

b) $3R$

c) $6R$

d) $9R$

272 / 360

Category: Electrical Energy and Power Consumption

272. (A) A 100 W - 220 V bulb will consume the same amount of electrical energy in 10 hours as a 200 W - 110 V bulb consumes in 5 hours.
(R) The energy consumed by an appliance is given by $E = P \times t$, where $P$ is power and $t$ is time, irrespective of the voltage rating.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

273 / 360

Category: Combination of Resistors

273. (A) When three identical resistors are first connected in series and then in parallel, the ratio of their equivalent resistances is 9:1.
(R) For n identical resistors each of resistance R, the equivalent resistance in series is nR while in parallel it is R/n.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

274 / 360

Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

274. (A) The electrical energy supplied by a source is given by $W = VIt$.
(R) This is because the work done to move charge $Q$ through a potential difference $V$ is $W = QV$ and $Q = It$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

275 / 360

Category: Current (I)

275. (A) If $1 \text{ C}$ of charge flows through a conductor in $1 \text{ s}$, the current is $1 \text{ A}$.
(R) Current is defined as the rate of flow of charge, given by $I = \frac{Q}{t}$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

276 / 360

Category: Combination of resistors in series

276. Three resistors $R_1 = 4 \Omega$, $R_2 = 6 \Omega$, and $R_3$ are connected in series across a battery such that the total potential difference across the combination is $24 V$. If the potential difference across $R_3$ is $12 V$, what is the value of $R_3$?
$V = V_1 + V_2 + V_3$

a) $5 \Omega$

b) $8 \Omega$

c) $10 \Omega$

d) $12 \Omega$

277 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

277. Which of the following conditions must be satisfied to verify Ohm’s law accurately?

a) The resistance wire should be made of nichrome.

b) The ammeter must have high internal resistance.

c) The temperature of the resistance wire must remain constant.

d) The battery voltage should not exceed 10 V.

278 / 360

Category: Charge (Q)

278. Two identical spheres with charges $+4 \, \mu C$ and $-12 \, \mu C$ are brought into contact and then separated. What is the final charge on each sphere?

a) $-2 \, \mu C$ on each

b) $-4 \, \mu C$ on each

c) $-6 \, \mu C$ on each

d) $-8 \, \mu C$ on each

279 / 360

Category: Current (I)

279. What is the definition of electric current?

a) The force acting on a charge

b) The rate of flow of charge

c) The energy carried by electrons

d) The movement of electrons in space

280 / 360

Category: Internal Resistance

280. (A) For a cell with non-zero internal resistance, the terminal voltage equals its emf when no current is drawn from the cell.
(R) The voltage drop across the internal resistance $v = I r$ becomes zero when $I = 0$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

281 / 360

Category: Internal Resistance of a Cell

281. A cell has an e.m.f. of 10 V and a terminal voltage of 8 V when delivering a current of 2 A. What is its internal resistance?

a) 0.5 $\Omega$

b) 1 $\Omega$

c) 2 $\Omega$

d) 4 $\Omega$

282 / 360

Category: Charge (Q)

282. Convert $5 \, \mu C$ to coulombs.

a) $5 \times 10^{-5} C$

b) $5 \times 10^{-6} C$

c) $5 \times 10^{-7} C$

d) $5 \times 10^{-8} C$

283 / 360

Category: Internal Resistance

283. A cell of e.m.f. $6\, \text{V}$ and internal resistance $0.8\, \Omega$ is connected in series with a resistor of $7.2\, \Omega$ and an ammeter of negligible resistance. What will the ammeter read?

a) $0.5\, \text{A}$

b) $0.75\, \text{A}$

c) $1\, \text{A}$

d) $1.25\, \text{A}$

284 / 360

Category: Factors affecting the resistance of a conductor

284. A wire of resistance $R$ is stretched to double its original length while keeping the volume constant. What will be its new resistance?

a) $\frac{R}{2}$

b) $2R$

c) $4R$

d) $8R$

285 / 360

Category: Area of Cross-Section

285. A wire of length $l$ and cross-sectional area $A$ has a resistance of $8 \, \Omega$. If the wire is stretched such that its length becomes $2l$, what will be its new resistance? (Assume volume remains constant.)

a) 16 $\Omega$

b) 24 $\Omega$

c) 32 $\Omega$

d) 64 $\Omega$

286 / 360

Category: Charge (Q)

286. A metal sphere loses $3.125 \times 10^{18}$ electrons. What is the net charge acquired by the sphere?

a) $-0.5 \, C$

b) $+0.8 \, C$

c) $+0.5 \, C$

d) $-0.8 \, C$

287 / 360

Category: TERMINAL VOLTAGE OF A CELL

287. (A) The terminal voltage of a cell is always equal to its emf when no current is drawn from the cell.
(R) When no current is drawn, the voltage drop inside the cell is zero, making the terminal voltage equal to the emf.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

288 / 360

Category: Length of the Conductor

288. (A) When a conductor is stretched to twice its original length while keeping its volume constant, its resistance becomes four times the original resistance.
(R) The resistance of a conductor is directly proportional to the square of its length when the volume remains constant.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

289 / 360

Category: Resistors in Parallel:

289. In a parallel circuit with three resistors $R_1 = 3\Omega$, $R_2 = 6\Omega$, and $R_3 = 9\Omega$, if the total current supplied is 18A, what is the current through $R_3$?

a) 2A

b) 3.27A

c) 4A

d) 5A

290 / 360

Category: Internal Resistance

290. A cell of e.m.f. 3.6 V and internal resistance 1.2 $\Omega$ is connected to a resistor of 2.4 $\Omega$. Calculate the current flowing through the circuit.

a) 0.5 A

b) 1.0 A

c) 1.5 A

d) 2.0 A

291 / 360

Category: Ohm’s Law

291. A device shows a nonlinear $V-I$ curve with increasing current for increasing voltage but not following Ohm’s law. Which of the following devices could this likely represent?

a) Copper wire

b) Nichrome wire

c) Filament of a bulb

d) Aluminium rod

292 / 360

Category: CHOICE OF MATERIAL OF A WIRE

292. Below which temperature does lead become a superconductor?

a) 4.2 K

b) 7.25 K

c) 9.2 K

d) 273 K

293 / 360

Category: Ohm’s Law

293. (A) Ohm’s law states that the current flowing through a conductor is directly proportional to the potential difference across its ends, provided the physical conditions remain constant.
(R) The resistance of a conductor remains constant as long as temperature and other physical conditions are unchanged.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

294 / 360

Category: Statement of Ohm’s Law:

294. If the potential difference ($V$) across a resistor is 12 V and the current ($I$) flowing through it is 3 A, what is the resistance ($R$) of the resistor?

a) $1\,\Omega$

b) $2\,\Omega$

c) $4\,\Omega$

d) $6\,\Omega$

295 / 360

Category: Internal Resistance of a Cell

295. A battery with an e.m.f. of 12 V and internal resistance $r$ is connected to a resistor of 4 $\Omega$. If the terminal voltage across the battery is 10 V, what is the value of $r$?

a) 1.2 $\Omega$

b) 0.8 $\Omega$

c) 0.5 $\Omega$

d) 1.6 $\Omega$

296 / 360

Category: Internal Resistance of a Cell

296. (A) The terminal voltage of a cell decreases when current is drawn from it.
(R) The internal resistance of the cell causes a voltage drop when current flows through it.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

297 / 360

Category: Combination of Resistors

297. (A) The equivalent resistance of two resistors $R_1$ and $R_2$ connected in series is greater than the equivalent resistance when they are connected in parallel.
(R) In a series combination, resistances add up directly, whereas in a parallel combination, the reciprocal of resistances add up.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

298 / 360

Category: Internal Resistance of a Cell

298. What is the internal resistance of a cell?

a) Resistance offered by the external circuit to current flow

b) Resistance offered by the electrodes of the cell

c) Resistance offered by the electrolyte inside the cell to current flow

d) Resistance offered by the connecting wires

299 / 360

Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

299. If an appliance has a power rating of $100~W$ at $220~V$, what is its resistance?

a) $22~\Omega$

b) $48.4~\Omega$

c) $484~\Omega$

d) $2200~\Omega$

300 / 360

Category: Electrical Power and Energy

300. A household uses a $2 kW$ air conditioner for 5 hours daily. If the cost of electricity is Rs.6 per $kWh$, what is the monthly (30 days) cost of running the air conditioner?

a) Rs.1200

b) Rs.1500

c) Rs.1800

d) Rs.2100

301 / 360

Category: Internal Resistance

301. A battery with an e.m.f. of $12\, \text{V}$ and internal resistance $r$ is connected to a variable resistor $R$. When $R = 4\, \Omega$, the terminal voltage is $9.6\, \text{V}$. What is the value of $r$?

a) $0.5\, \Omega$

b) $1\, \Omega$

c) $1.5\, \Omega$

d) $2\, \Omega$

302 / 360

Category: Internal Resistance of a Cell

302. When is the terminal voltage of a cell equal to its e.m.f.?

a) When the cell is not connected to any circuit

b) When maximum current is drawn from the cell

c) When the internal resistance is zero

d) When the external resistance is very high

303 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

303. During the verification of Ohm’s law, the following observations were recorded: Potential difference ($V$) = 6 V, Current ($I$) = 2 A. Later, the current was doubled. If the wire follows Ohm’s law, what will be the new potential difference across it?

a) 3 V

b) 6 V

c) 9 V

d) 12 V

304 / 360

Category: Factors affecting the resistance of a conductor

304. A tungsten filament bulb operates at 3000 K with a resistance of $1200 \Omega$. At room temperature (300 K), the resistance drops to $100 \Omega$. If the filament's length is increased by 50\% and its radius is reduced by 20\% at 3000 K, what will be the new operating resistance?

a) $1500 \Omega$

b) $2250 \Omega$

c) $2812.5 \Omega$

d) $3600 \Omega$

305 / 360

Category: Electrical Energy and Power Consumption

305. (A) The electrical energy consumed by a 100 W bulb glowing for 5 hours is 0.5 kWh.
(R) Electrical energy in kWh is calculated using the formula $\text{Energy (kWh)} = \frac{\text{Power (W)} \times \text{Time (h)}}{1000}$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

306 / 360

Category: Internal Resistance of a Cell

306. Two identical cells each with emf $2\,V$ and internal resistance $1\,\Omega$ are connected in parallel across an external resistor $R = 1\,\Omega$. What is the current through the external resistor?

a) $1.0\,A$

b) $1.25\,A$

c) $1.33\,A$

d) $1.5\,A$

307 / 360

Category: Electrical Energy and Power Consumption

307. A geyser is rated '1500 W - 220 V'. What is the resistance of its heating element when it is operating?

a) 16.13 $\Omega$

b) 24.20 $\Omega$

c) 32.27 $\Omega$

d) 48.40 $\Omega$

308 / 360

Category: Material of the Conductor

308. Which of the following materials would be most suitable for making a fuse wire?

a) Copper

b) Aluminium

c) Lead-tin alloy

d) Silver

309 / 360

Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

309. A conductor carries a current of 2 A. If $3 \times 10^{19}$ electrons pass through the conductor in 1 second, what is the magnitude of the charge on each electron?

a) $1.6 \times 10^{-19} \, \text{C}$

b) $6.67 \times 10^{-20} \, \text{C}$

c) $3.2 \times 10^{-19} \, \text{C}$

d) $4.8 \times 10^{-19} \, \text{C}$

310 / 360

Category: ELECTRICAL ENERGY

310. (A) A 100 W - 220 V bulb when connected to a 110 V supply consumes 25 W of power.
(R) The power consumed by an electrical appliance is proportional to the square of the voltage applied across it.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

311 / 360

Category: Factors Affecting Internal Resistance:

311. Three resistors of $2 \Omega$, $3 \Omega$, and $6 \Omega$ are connected in parallel and then connected in series with a cell of emf 12 V and internal resistance $1 \Omega$. What is the total current in the circuit?

a) 2 A

b) 4 A

c) 6 A

d) 8 A

312 / 360

Category: Internal Resistance of a Cell

312. A cell of e.m.f. $\epsilon = 12 \, \text{V}$ has a terminal voltage of $9 \, \text{V}$ when connected to an external resistor. If the current drawn is $1.5 \, \text{A}$, what is the internal resistance of the cell?

a) $1 \, \Omega$

b) $2 \, \Omega$

c) $3 \, \Omega$

d) $4 \, \Omega$

313 / 360

Category: Combination of resistors in series

313. Two resistors $5 \Omega$ and $7 \Omega$ are connected in series. If the total potential difference across the combination is $24 V$, what is the potential difference across the $5 \Omega$ resistor?

a) $8 V$

b) $10 V$

c) $12 V$

d) $14 V$

314 / 360

Category: Factors affecting the resistance of a conductor

314. (A) The resistance of a conductor increases with an increase in its temperature.
(R) At higher temperatures, the random motion of electrons increases, leading to more collisions with positive ions.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

315 / 360

Category: Unit of Resistance

315. A resistance wire has a resistance of 5000 $\Omega$. What is its resistance in kilo-ohm?

a) 50 k$\Omega$

b) 5 k$\Omega$

c) 0.5 k$\Omega$

d) 500 k$\Omega$

316 / 360

Category: Internal Resistance

316. A battery has an open-circuit voltage of $10\, \text{V}$. When connected to a $15\, \Omega$ resistor, its terminal voltage drops to $9\, \text{V}$. What is its internal resistance?

a) $1.5\, \Omega$

b) $1.\overline{6}\, \Omega$

c) $2\, \Omega$

d) $2.5\, \Omega$

317 / 360

Category: Potential Difference (P.D.)

317. A battery with an e.m.f. of $12 \text{ V}$ supplies a current to a resistor. If the voltage drop inside the battery is $2 \text{ V}$, what is the energy dissipated per coulomb in the external circuit?

a) $2 \text{ J/C}$

b) $10 \text{ J/C}$

c) $12 \text{ J/C}$

d) $14 \text{ J/C}$

318 / 360

Category: Ohm’s Law

318. A conductor has a resistance of $10 \Omega$. If the potential difference across its ends is 20 V, what is the current flowing through it?

a) 1 A

b) 2 A

c) 5 A

d) 10 A

319 / 360

Category: Internal Resistance of a Cell

319. A cell of e.m.f. $\epsilon$ and internal resistance $r$ is connected to a variable resistor. When the resistor is set to 10 $\Omega$, the current is 1 A, and when it is set to 20 $\Omega$, the current drops to 0.6 A. What is the internal resistance $r$ of the cell?

a) 3 $\Omega$

b) 4 $\Omega$

c) 5 $\Omega$

d) 6 $\Omega$

320 / 360

Category: Internal Resistance of a Cell

320. When a cell of e.m.f. $6 \, \text{V}$ and internal resistance $0.5 \, \Omega$ delivers a current of $2 \, \text{A}$, how much power is dissipated as heat due to its internal resistance?

a) $0.5 \, \text{W}$

b) $1 \, \text{W}$

c) $2 \, \text{W}$

d) $4 \, \text{W}$

321 / 360

Category: Factors Affecting Internal Resistance:

321. What happens to the internal resistance when the temperature of the electrolyte increases?

a) Internal resistance increases with temperature

b) Internal resistance remains constant with temperature

c) Internal resistance becomes zero at high temperature

d) Internal resistance decreases with temperature

322 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

322. A student measures the voltage-current characteristics of two different components, A and B. Component A shows a linear $V-I$ relationship passing through the origin, while component B shows a non-linear $V-I$ curve. Which of the following statements correctly identifies the nature of components A and B?

a) Both A and B are ohmic resistors.

b) Both A and B are non-ohmic resistors.

c) A is an ohmic resistor, and B is a non-ohmic resistor.

d) A is a non-ohmic resistor, and B is an ohmic resistor.

323 / 360

Category: Resistors in Parallel:

323. Two resistors of $4 \Omega$ and $12 \Omega$ are connected in parallel across a 12 V battery. What is the power dissipated by the $4 \Omega$ resistor?

a) $9 \text{ W}$

b) $18 \text{ W}$

c) $36 \text{ W}$

d) $48 \text{ W}$

324 / 360

Category: Factors Affecting Resistance

324. If the length of a wire is doubled while its cross-sectional area remains the same, what happens to its resistance?

a) Halves

b) Doubles

c) Remains the same

d) Quadruples

325 / 360

Category: Combination of Resistors

325. A $6 \Omega$ resistor is connected in series with a parallel combination of two $3 \Omega$ resistors. What is the total equivalent resistance?

a) $4.5 \Omega$

b) $6.5 \Omega$

c) $7.5 \Omega$

d) $9 \Omega$

326 / 360

Category: ELECTRICAL ENERGY

326. (A) An electric bulb rated 100 W - 220 V consumes more electrical energy than a bulb rated 60 W - 220 V when both are used for the same duration.
(R) The power rating of an electrical appliance indicates the rate at which it converts electrical energy into other forms of energy.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

327 / 360

Category: CHOICE OF MATERIAL OF A WIRE

327. Which material is most commonly used for making wires in electrical connections and power transmission due to its low specific resistance?

a) Silver

b) Tungsten

c) Copper

d) Nichrome

328 / 360

Category: Combination of Resistors

328. Four identical resistors each of resistance $5\,\Omega$ are connected in parallel. If a current of $2\,A$ passes through the circuit, what is the potential difference across each resistor?

a) $1.25V$

b) $2.5V$

c) $5V$

d) $10V$

329 / 360

Category: Factors Affecting Resistance

329. A wire made of a certain material has a resistance of 10 $\Omega$ at 20°C. If the temperature coefficient of resistance for this material is $0.004 \, \text{K}^{-1}$ and the wire is heated to 70°C, what will be its new resistance?

a) 8 $\Omega$

b) 10 $\Omega$

c) 12 $\Omega$

d) 14 $\Omega$

330 / 360

Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

330. An electric heater rated 2000 W-220 V is operated at its rated voltage for 2 hours. How much electrical energy does it consume?

a) 2.88 × 10$^6$ J

b) 7.2 × 10$^6$ J

c) 1.44 × 10$^7$ J

d) 2.88 × 10$^7$ J

331 / 360

Category: Commercial Energy Consumption

331. A household uses two 60 W bulbs for 5 hours, a 1500 W geyser for 30 minutes, and a 750 W mixer for 15 minutes daily. What is the total energy consumed in kWh in a month (30 days)?

a) 45.00 kWh

b) 46.13 kWh

c) 50.25 kWh

d) 42.50 kWh

332 / 360

Category: Area of Cross-Section

332. (A) If a wire of resistance $R$ is stretched such that its length doubles while the volume remains constant, its new resistance will be $4R$.
(R) The resistance $R$ of a wire is directly proportional to its length $l$ and inversely proportional to its area of cross-section $A$.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

333 / 360

Category: MEASUREMENT OF ELECTRICAL is ENERGY (EXPRESSION W = QV = Vit)

333. What is the expression for electrical energy $W$ supplied by a source when current $I$ flows for time $t$ under potential difference $V$?

a) $W = VI$

b) $W = IRt$

c) $W = VIt$

d) $W = I^2Rt$

334 / 360

Category: Potential Difference (P.D.)

334. A cell has an e.m.f. of $6 \text{ V}$ and an internal resistance causing a voltage drop of $1 \text{ V}$. If the terminal voltage is measured to be $4 \text{ V}$, what is the work done in moving $2 \text{ C}$ charge through the external circuit?

a) $4 \text{ J}$

b) $6 \text{ J}$

c) $8 \text{ J}$

d) $10 \text{ J}$

335 / 360

Category: Internal Resistance of a Cell

335. A cell of emf $6\,V$ and unknown internal resistance $r$ is connected to an external resistor $R = 4\,\Omega$. If the power dissipated in the external resistor is $4\,W$, what is the internal resistance of the cell?

a) $1\,\Omega$

b) $2\,\Omega$

c) $3\,\Omega$

d) $4\,\Omega$

336 / 360

Category: Concept of Charge, Current, Potential, Potential Difference, and Resistance

336. If a current of $2.5 \, mA$ flows through a conductor for 8 seconds, how much charge passes through it?

a) $15 \, mC$

b) $18 \, mC$

c) $20 \, mC$

d) $25 \, mC$

337 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

337. (A) The slope of the V-I graph for an ohmic resistor gives its resistance.
(R) For an ohmic resistor, the V-I graph is a straight line passing through the origin.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

338 / 360

Category: Material of the Conductor

338. A wire of length 2 m and cross-sectional area 1 $\text{mm}^2$ has a resistance of 10 $\Omega$. What is the specific resistance of the material of the wire?

a) $2 \times 10^{-6}\, \Omega \text{m}$

b) $5 \times 10^{-6}\, \Omega \text{m}$

c) $10 \times 10^{-6}\, \Omega \text{m}$

d) $20 \times 10^{-6}\, \Omega \text{m}$

339 / 360

Category: CHOICE OF MATERIAL OF A WIRE

339. (A) Copper is preferred over silver for electrical connections despite silver having lower specific resistance because it provides better mechanical strength.
(R) The choice of material for a wire depends on multiple factors including cost, availability, and resistivity.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

340 / 360

Category: Combination of Resistors

340. A circuit consists of two resistors $R_1 = 5 \Omega$ and $R_2 = 10 \Omega$ in series, and this combination is connected in parallel with another resistor $R_3 = 15 \Omega$. What is the equivalent resistance of the entire circuit?

a) $5 \Omega$

b) $7.5 \Omega$

c) $10 \Omega$

d) $15 \Omega$

341 / 360

Category: Statement of Ohm’s Law:

341. What is the SI unit of electrical resistance?

a) Volt

b) Ampere

c) Ohm

d) Watt

342 / 360

Category: Unit of Resistance

342. (A) The resistance of a conductor increases with temperature for all materials.
(R) The specific resistance of semiconductors decreases with temperature.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

343 / 360

Category: Factors affecting the resistance of a conductor

343. Which material has the highest specific resistance ($\rho$) among the following?

a) Silver

b) Copper

c) Manganin

d) Glass

344 / 360

Category: EXPERIMENTAL VERIFICATION OF OHM’S LAW

344. (A) The slope of the V-I graph gives the resistance of the conductor.
(R) For an ohmic resistor, the V-I graph is a straight line passing through the origin.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

345 / 360

Category: Unit of Resistance

345. What is the SI unit of resistance?

a) Volt

b) Ampere

c) Ohm

d) Siemens

346 / 360

Category: Internal Resistance of a Cell

346. If the terminal voltage of a cell is $4.8 \, \text{V}$ when it delivers a current of $0.4 \, \text{A}$ and its internal resistance is $2 \, \Omega$, what is its e.m.f.?

a) 4.0 V

b) 4.8 V

c) 5.2 V

d) 5.6 V

347 / 360

Category: Combination of Resistors

347. (A) The equivalent resistance of two resistors connected in parallel is always less than the smallest resistance in the combination.
(R) In a parallel combination, the total current divides among the resistors inversely proportional to their resistances.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

348 / 360

Category: Internal Resistance of a Cell

348. (A) The terminal voltage of a cell decreases when the current drawn from it increases.
(R) The internal resistance of the cell causes a voltage drop proportional to the current.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

349 / 360

Category: Internal Resistance of a Cell

349. (A) The terminal voltage of a cell decreases when current is drawn from it.
(R) Internal resistance causes a voltage drop equal to $Ir$ when current flows through the cell.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

350 / 360

Category: Ohm’s Law

350. A conductor has a resistance of $10 \Omega$ at 20°C. If the temperature increases to 40°C, and the resistance changes to $12 \Omega$, what is the conductance of the conductor at 40°C?

a) $0.0833 \, \text{S}$

b) $0.10 \, \text{S}$

c) $12 \, \text{S}$

d) $120 \, \text{S}$

351 / 360

Category: Factors Affecting Resistance

351. (A) The resistance of a wire increases when its temperature is increased.
(R) The specific resistance of a metallic conductor increases with an increase in temperature.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

352 / 360

Category: CHOICE OF MATERIAL OF A WIRE

352. A copper wire of length 2 m and cross-sectional area $1 \times 10^{-6} \, m^2$ is stretched to double its original length while maintaining its volume. What will be the new resistance of the wire? (Given: $\rho_{Cu} = 1.73 \times 10^{-8} \, \Omega \, m$)

a) $0.0348 \, \Omega$

b) $0.0692 \, \Omega$

c) $0.1384 \, \Omega$

d) $0.2768 \, \Omega$

353 / 360

Category: Factors affecting the resistance of a conductor

353. (A) The resistivity of a semiconductor decreases with an increase in temperature.
(R) At higher temperatures, the number of charge carriers in a semiconductor increases significantly.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

354 / 360

Category: Combination of resistors in parallel

354. A 12V battery is connected to two resistors $R_1 = 4\Omega$ and $R_2 = 6\Omega$ in parallel. Calculate the total power dissipated in the circuit.

a) 48W

b) 50W

c) 60W

d) 72W

355 / 360

Category: CHOICE OF MATERIAL OF A WIRE

355. Why is a lead-tin alloy commonly used as a fuse wire?

a) It has a very low specific resistance

b) It has a high melting point

c) It has high conductivity

d) It has high specific resistance and low melting point

356 / 360

Category: Length of the Conductor

356. Which of the following materials is commonly used as a superconductor at very low temperatures?

a) Copper

b) Tungsten

c) Lead

d) Aluminium

357 / 360

Category: ELECTRICAL ENERGY

357. A bulb is rated 60 W - 120 V. What is the resistance of its filament when it is glowing?

a) 60 $\Omega$

b) 120 $\Omega$

c) 240 $\Omega$

d) 480 $\Omega$

358 / 360

Category: Combination of resistors in parallel

358. Three resistors of 2 Ω, 4 Ω, and 8 Ω are connected in parallel. What is their equivalent resistance?

a) 0.5 Ω

b) 1.14 Ω

c) 2 Ω

d) 4 Ω

359 / 360

Category: Resistors in Parallel:

359. Three resistors $R_1 = 2\Omega$, $R_2 = 4\Omega$, and $R_3 = 6\Omega$ are connected in parallel to a battery of emf 12V. What is the total current drawn from the battery?

a) 8A

b) 10A

c) 11A

d) 12A

360 / 360

Category: Combination of resistors in parallel

360. (A) When three resistors of resistances $R_1$, $R_2$, and $R_3$ are connected in parallel, the equivalent resistance is always less than the smallest individual resistance.
(R) In a parallel combination, the total current divides into branches such that the current through each resistor is inversely proportional to its resistance.

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.

c) Assertion is true, but Reason is false.

d) Assertion is false, but Reason is true.

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