JEE PHYSICS UNIT 14
QUIZ NO 2
TOTAL QUESTIONS = 20
1. A coil of inductance 0.5 H and resistance 100 Ω is connected to a 240 V, 50 Hz AC supply. What is the peak current in the circuit?
A. 2.26 A
B. 3.20 A
C. 1.70 A
D. 2.80 A
2. A 50 Hz AC current passes through a 20 H inductor. What is the reactance of the inductor?
A. 6280 Ω
B. 3140 Ω
C. 1570 Ω
D. 785 Ω
3. When current in a coil changes from 5 A to 2 A in 0.1 s, an average voltage of 50 V is produced. The self-inductance of the coil is
A. 0.67 H
B. 1.67 H
C. 3 H
D. 6 H
4. Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area 10 cm² and length 20 cm. If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is (μ₀ = 4π × 10⁻⁷ T m/A)
A. 2.4π × 10⁻⁴ H
B. 2.4π × 10⁻⁵ H
C. 4.8π × 10⁻⁴ H
D. 4.8π × 10⁻⁵ H
5. The self-inductance of the motor of an electric fan is 10 H. In order to impart maximum power at 50 Hz, it should be connected to a capacitance of
A. 1 μF
B. 2 μF
C. 4 μF
D. 8 μF
6. A coil of inductance 300 mH and resistance 2 Ω is connected to a source of voltage 2 V. The current reaches half of its steady-state value in
A. 0.15 s
B. 0.3 s
C. 0.05 s
D. 0.1 s
7. In a LCR circuit, capacitance is changed from C to 2C. The mutual inductance of the pair of coils depends upon
A. the rates at which currents are changing in the two coils
B. relative position and orientation of the two coils
C. the materials of the wires of the coils
D. the currents in the two coils
8. The power factor of an AC circuit having resistance (R) and inductance (L) connected in series and an angular velocity ω is
A. R/ωL
B. R/√(R² + ω²L²)
C. ωL/R
D. R/√(R² – ω²L²)
9. An arc lamp requires a direct current of 10 A at 80 V to function. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then the self-inductance of the coil
A. increases by a factor of 27
B. decreases by a factor of 3
C. increases by a factor of 3
D. decreases by a factor of 9
10. The self-induced emf of a coil is 25 volts. When the current in it is changed at a uniform rate from 10 A to 25 A in 1 s, the change in the energy of the inductance is
A. 637.5 J
B. 540 J
C. 437.5 J
D. 740 J
11. A coil of inductance 0.1 H and resistance 10 Ω is connected to a 1 V battery. The energy stored in the coil is
A. 0.005 J
B. 0.01 J
C. 0.02 J
D. 0.05 J
12. A transformer has 500 primary and 5000 secondary turns. The primary voltage is 20 V. The secondary voltage is
A. 200 V
B. 2 V
C. 20 V
D. 2000 V
13. A capacitor of 50 μF is connected to a 200 V, 50 Hz AC supply. The rms value of the current in the circuit is
A. 3.14 A
B. 6.28 A
C. 1.57 A
D. 0.628 A
14. In a series LCR circuit, the voltage across the resistor, inductor, and capacitor are 30 V, 40 V, and 50 V, respectively. The supply voltage is
A. 50 V
B. 40 V
C. 30 V
D. 70 V
15. A coil of inductance 0.5 H and resistance 100 Ω is connected to a 240 V, 50 Hz AC supply. The current in the coil is
A. 2.26 A
B. 3.20 A
C. 1.70 A
D. 2.80 A
16. A 50 Hz AC current passes through a 20 H inductor. The inductive reactance is
A. 6280 Ω
B. 3140 Ω
C. 1570 Ω
D. 785 Ω
17. When the current in a coil changes from 5 A to 2 A in 0.1 s, an average emf of 50 V is induced. The self-inductance of the coil is
A. 0.67 H
B. 1.67 H
C. 3 H
D. 6 H
18. Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area 10 cm² and length 20 cm. If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is
A. 2.4π × 10⁻⁴ H
B. 2.4π × 10⁻⁵ H
C. 4.8π × 10⁻⁴ H
D. 4.8π × 10⁻⁵ H
19. The self-inductance of the motor of an electric fan is 10 H. To impart maximum power at 50 Hz, it should be connected to a capacitance of
A. 1 μF
B. 2 μF
C. 4 μF
D. 8 μF
20. A coil of inductance 300 mH and resistance 2 Ω is connected to a source of voltage 2 V. The time constant of the circuit is
A. 0.15 s
B. 0.3 s
C. 0.05 s
D. 0.1 s
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