Magnetic flux through a circuit of resistance \(20~\Omega\) is changed from \(20\) Wb to \(40\) Wb in \(5\) ms. The charge passed through the circuit during this time is:
1. \(1\) C
2. \(2\) C
3. zero
4. \(0.5\) C

Subtopic:  Faraday's Law & Lenz Law |
 80%
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A long straight conductor, carrying current I, is fixed on a smooth plane. A circular loop is placed on the same plane as shown in the figure. If the current I through the wire is increasing, then the loop will move towards:

1. Right

2. Left

3. Up 

4. Down

Subtopic:  Faraday's Law & Lenz Law |
 61%
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Two coils have a mutual inductance of 5 mH. The current changes in the first coil according to the equation \(I=I_{0}cos\omega t,\) where \(I_{0}=10~A\) and ω = 100π rad/s. The maximum value of e.m.f. induced in the second coil is:

1. 5π Volt

2. 2π Volt

3. 4π Volt

4. π Volt

Subtopic:  Mutual Inductance |
 80%
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A circular loop is placed near a current-carrying conductor as shown. If the current in the straight conductor is decreasing, then the direction of the induced current in the loop is

1. Clockwise

2. Anticlockwise

3. Into the page 

4. Out of the page

Subtopic:  Faraday's Law & Lenz Law |
 76%
From NCERT
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Two rails of a railway track insulated from each other on the ground are connected to a millivoltmeter. The reading of millivoltmeter when the train travels at a speed of 20m/s along the track is (Given: Bv = 0.2×10-4 Wb/m2 and distance between the rails is 1m)

1. 10 mV

2. 0.4 mV

3. 40 mV

4. 4 mV

Subtopic:  Motional emf |
 82%
From NCERT
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The current through a choke coil increases from zero to 6 A in 0.3 seconds and an induced emf of 30 V is produced. The inductance of the coil is:

1. 5 H 2. 2.5 H
3. 1.5 H 4. 2 H
Subtopic:  Self - Inductance |
 89%
From NCERT
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Self-inductance of primary and secondary of a perfectly coupled coil is 40 mH and 90mH respectively. Coefficient of mutual induction between them is

1. 65 mH

2. 50 mH

3. 130 mH

4. 60 mH

Subtopic:  Mutual Inductance |
 83%
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A conducting square loop of side L and resistance R moves in its plane with a uniform velocity v perpendicular to one of its sides. A constant magnetic field B exists as shown in the figure. Mechanical power required to maintain its uniform velocity is

1. B2L2v2R

2. B2L2v22R

3. B2L2v24R

4. Zero

Subtopic:  Motional emf |
 76%
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A conducting disc of radius r rotates about its axis with an angular speed ω in a uniform magnetic field B perpendicular to the plane of the disc as shown. A resistance R is connected between centre and rim of the disc, then-

1. No e.m.f. will induce across the resistance

2. E.m.f. will induce and A is at high potential

3. Current in resistance will flow from A to B

4. Resistance becomes hot due to Joule's heating

Subtopic:  Motional emf |
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A train is moving on a straight horizontal track. Induced emf across the axle is maximum when it moves

1. At poles

2. At equator

3. Along the direction where the angle of dip is 45°

4. Emf is not induced

Subtopic:  Motional emf |
 60%
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