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Q. No.The dimensions of mutual inductance \((M)\) are:
1.
\(\left[M^2LT^{-2}A^{-2}\right]\)
2.
\(\left[MLT^{-2}A^{2}\right]\)
3.
\(\left[M^{2}L^{2}T^{-2}A^{2}\right]\)
4.
\(\left[ML^{2}T^{-2}A^{-2}\right]\)
Subtopic: Mutual Inductance |
76%
Level 2: 60%+
NEET - 2022
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The magnetic field, through a closed loop of conducting wire covering an area of \(100\) cm2, is \(5\times10^{-2}\) T and it is uniform and normal to the area. If the field is switched off in a time of \(10\) ms, the average EMF induced is:
| 1. | \(5\) V | 2. | \(0.5\) V |
| 3. | \(0.05\) V | 4. | \(5\times10^{-4}\) V |
Subtopic: Faraday's Law & Lenz Law |
77%
Level 2: 60%+
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A straight horizontal wire \(\mathrm{AB}\) of length \(l\) falls from rest under gravity. A uniform horizontal magnetic field \(B\) acts perpendicular to the plane of motion of \(\mathrm{AB},\) as shown in the figure. The induced emf across \(\mathrm{AB},\) \(E,\) is proportional to:
1. \(B\)
2. \(l\)
3. time, \(t\)
4. all of the above
1. \(B\)
2. \(l\)
3. time, \(t\)
4. all of the above
Subtopic: Motional emf |
83%
Level 1: 80%+
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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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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 |
59%
Level 3: 35%-60%
NEET - 2022
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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. \(2\text{ Wb}\)
3. \(0.5\text{ Wb}\)
4. \(1\text{ Wb}\)
1. zero
2. \(2\text{ Wb}\)
3. \(0.5\text{ Wb}\)
4. \(1\text{ Wb}\)
Subtopic: Magnetic Flux |
68%
Level 2: 60%+
NEET - 2022
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An \(L\)-shaped rod \((ABC;AB=BC=a)\) moves in its own plane with a velocity \(v\) parallel to \(AB.\) There is a uniform magnetic field \(B\) acting into the plane as shown. The emf developed between \(A,C\) is:
| 1. | \(Bav\) | 2. | \(\sqrt2Bav\) |
| 3. | \(\dfrac{Bav}{2}\) | 4. | zero |
Subtopic: Motional emf |
57%
Level 3: 35%-60%
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A conducting circular wire of radius \(r\) is moving with constant velocity \(v\) towards the right in a uniform magnetic field \(B.\) We consider two points \(X,Y\) such that chord \(XY\) is perpendicular to the velocity \(v\) and is at a distance \(x\) from the centre \((O)\) of the circle. The EMF induced between \(X,Y\) is \(\varepsilon.\) Then, \(\varepsilon\) is proportional to:
| 1. | \(x\) | 2. | \(\sqrt{r^2-x^2}\) |
| 3. | \(r\) | 4. | \(x\sqrt{r^2-x^2}\) |
Subtopic: Motional emf |
74%
Level 2: 60%+
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The self-inductance of a long solenoid of cross-section \(A,\) total length \(L\) and total number of turns \(N,\) is (approximately):
| 1. | \(\dfrac{\mu_0A}{L}\cdot N\) | 2. | \(\dfrac{\mu_0A}{L}\cdot N^2\) |
| 3. | \(\dfrac{\mu_0L^3}{A}\cdot N\) | 4. | \(\dfrac{\mu_0L^3}{A}\cdot N^2\) |
Subtopic: Self - Inductance |
81%
Level 1: 80%+
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A straight horizontal wire of mass \(m\) and length \(l,\) and having a negligible resistance can slide freely on a pair of conducting parallel rails, placed vertically. The rails are connected at the top by a capacitor \(C.\) A uniform magnetic field \(B\) exists in the region, perpendicular to the plane of the rails. The wire:
| 1. | falls with uniform velocity. |
| 2. | accelerates down with acceleration less than \(g\). |
| 3. | accelerates down with acceleration equal to \(g\). |
| 4. | moves down and eventually comes to rest. |
Subtopic: Motional emf |
71%
Level 2: 60%+
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