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Q. No.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 |
51%
Level 3: 35%-60%
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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%
Level 2: 60%+
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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%
Level 1: 80%+
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A conducting rod \(AB\) of length \(l=1~\text{m}\) is moving at a velocity \(2~\text{m/s}\) making an angle \(30^\circ\) with its length. A uniform magnetic field \( B=1~\text{T}\) exists in a direction perpendicular to the plane of motion. The emf induced across the rod is:
1. \(1~\text V\)
2. \(2~\text V\)
3. \(1.5~\text V\)
4. \(\dfrac43~\text V\)
1. \(1~\text V\)
2. \(2~\text V\)
3. \(1.5~\text V\)
4. \(\dfrac43~\text V\)
Subtopic: Motional emf |
81%
Level 1: 80%+
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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. \(20~\text{cm}\)
1. \(10~\text{cm}\)
2. \(12~\text{cm}\)
3. \(16~\text{cm}\)
4. \(20~\text{cm}\)
Subtopic: Faraday's Law & Lenz Law |
77%
Level 2: 60%+
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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. \(4\)
1. \(16\)
2. \(12\)
3. \(8\)
4. \(4\)
Subtopic: Self - Inductance |
61%
Level 2: 60%+
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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
1. zero
2. \(2\) Wb
3. \(0.5\) Wb
4. \(1\) Wb
Subtopic: Magnetic Flux |
68%
Level 2: 60%+
NEET - 2022
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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%
Level 3: 35%-60%
NEET - 2022
Hints
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
In the light of the above statements choose the correct answer from the options given below:
| 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 |
73%
Level 2: 60%+
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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%
Level 1: 80%+
NEET - 2022
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