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A metallic rod of length \(3~\text{m}\) rotates with an angular speed of \(4~\text{rad/s}\) in a uniform magnetic field. The field makes an angle of \(30^{\circ}\) with the plane of rotation. The emf induced across the rod is \(72~\text{mV}\). The magnitude of the field is: 
1. \(4 \times 10^{-3}~\text{T}\)
2. \(8 \times 10^{-3}~\text{T}\)
3. \(16 \times 10^{-3}~\text{T}\)
4. \(48 \times 10^{-3}~\text{T}\)

Subtopic:  Motional emf |
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Two coils are placed close to each other. The mutual inductance of the pair of these coils depends on:
1. current flowing in the two coils
2. material of the wires of the coils
3. the relative position and orientation of the two coils
4. rate of change in current in the two coils
Subtopic:  Mutual Inductance |
 73%
From NCERT
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The self-inductance of a coil in which an emf of \(20~\text V\) is induced when the current in the circuit changes uniformly from \(1~\text A\) to \(2.5~\text A\) in \(0.5~\text s\) is:
1. \(\dfrac{20}{3}~\text H\) 2. \(\dfrac{40}{3}~\text H\)
3. \(\dfrac{17}{3}~\text H\) 4. \(\dfrac{50}{3}~\text H\)
Subtopic:  Self - Inductance |
 91%
From NCERT
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A conducting rod AB of length \(l=1\) m is moving at a velocity \(2\) m/s making an angle \(30^\circ\) with its length. A uniform magnetic field \(\mathrm B=1\) T exists in a direction perpendicular to the plane of motion. The emf induced across the rod is:

               
1. \(1\) V 2. \(2\) V
3. \(1.5\) V 4. \(\dfrac43\) V
Subtopic:  Motional emf |
 81%
From NCERT
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If the radius of the coil changing at the rate of \(10^{-2}\) m/s in a normal magnetic field \(10^{-4}\) T, the induced emf at particular instant is \(1~\mu \text{V}\). What is the approximate radius of the coil at that instant?
1. \(10~\text{cm}\)
2. \(12~\text{cm}\)
3. \(16~\text{cm}\)
4. \(20~\text{cm}\)
 
Subtopic:  Faraday's Law & Lenz Law |
 77%
From NCERT
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A coil is wound on a cylindrical core in the form of a closely packed helix. If all the linear dimensions of the solenoid are increased by a factor of \(2,\) while keeping the number of turns per unit length constant, the self-inductance increases by a factor of:
1. \(16\)
2. \(12\)
3. \(8\)
4. \(4\)
Subtopic:  Self - Inductance |
 61%
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A square loop with a side length of \(1~\text m\) and resistance of \(1~\Omega\) is placed in a uniform magnetic field of \(0.5~\text T.\) The plane of the loop is perpendicular to the direction of the magnetic field. The magnetic flux through the loop is:
1. zero
2. \(2\) Wb
3. \(0.5\) Wb
4. \(1\) Wb
Subtopic:  Magnetic Flux |
 69%
From NCERT
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A big circular coil with \(1000\) turns and an average radius of \(10~\text{m}\) is rotating about its horizontal diameter at a rate of \(2~\text{rad s}^{-1}.\) The vertical component of the Earth's magnetic field at that location is \(2\times 10^{-5}~\text{T},\) and the electrical resistance of the coil is \(12.56~\Omega,\) the maximum induced current in the coil will be:
1. \(2~\text{A}\) 2. \(0.25~\text{A}\)
3. \(1.5~\text{A}\) 4. \(1~\text{A}\)
Subtopic:  Faraday's Law & Lenz Law |
 58%
From NCERT
NEET - 2022
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): Bulb generally get fused when they are switched on or off.
Reason (R): When we switch on or off, a circuit current changes in it rapidly.

In the light of the above statements choose the correct answer from the options given below:
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Self - Inductance |
 74%
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The current in an inductor of self-inductance \(4~\text{H}\) changes from \(4~ \text{A}\) to \(2~\text{A}\) in \(1~ \text s\). The emf induced in the coil is:
1. \(-2~\text{V}\)
2. \(2~\text{V}\)
3. \(-4~\text{V}\)
4. \(8~\text{V}\)

Subtopic:  Self - Inductance |
 85%
From NCERT
NEET - 2022
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