Assertion (A): | The bar magnet falling vertically along the axis of the horizontal coil will be having acceleration less than \(g.\) |
Reason (R): | Clockwise current induced in the coil. |
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. | Both (A) and (R) are False. |
Statement I: | A steady magnetic field can be produced by a steady current. |
Statement II: | A steady current can be produced in a circuit by a changing magnetic field. |
1. | Statement I is incorrect and Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct and Statement II is incorrect. |
1. | \(0\) | 2. | \(2\) weber |
3. | \(0.5\) weber | 4. | \(1\) weber |
For a coil having\(L=2~\mathrm{mh},\) the current flow through it is \(I=t^2e^{-t}.\) The time at which emf becomes zero is:
1. 2 s
2. 1 s
3. 4 s
4. 3 s
A square of side \(L\) meters lies in the \(XY\text-\)plane in a region where the magnetic field is given by \(\vec{B}=B_{0}\left ( 2\hat{i} +3\hat{j}+4\hat{k}\right )\text{T}\) where \(B_{0}\) is constant. The magnitude of flux passing through the square will be:
1. \(2 B_{0} L^{2}~\text{Wb}\)
2. \(3 B_{0} L^{2}~\text{Wb}\)
3. \(4 B_{0} L^{2}~\text{Wb}\)
4. \(\sqrt{29} B_{0} L^{2}~\text{Wb}\)
1. | From \(a\) to \(b\) and from \(c\) to \(d\) |
2. | From \(a\) to \(b\) and from \(f\) to \(e\) |
3. | From \(b\) to \(a\) and from \(d\) to \(c\) |
4. | From \(b\) to \(a\) and from \(e\) to \(f\) |
Two identical conductors \(P\) and \(Q\) are placed on two frictionless (conducting) rails \(R\) and \(S\) in a uniform magnetic field directed into the plane. If \(P\) is moved in the direction as shown in the figure with a constant speed, then rod \(Q\):
1. | will be attracted toward \(P\) |
2. | will be repelled away from \(P\) |
3. | will remain stationary |
4. | maybe repelled or attracted towards \(P\) |
Two coaxial coils are very close to each other and their mutual inductance is 5 mH. If a current 50 sin 500t is passed in one of the coils, then the peak value of induced e.m.f. in the secondary coil will be:
1. | 5000 V | 2. | 500 V |
3. | 150 V | 4. | 125 V |
With the decrease of current in the primary coil from 2 A to zero in 0.01 s, the e.m.f. generated in the secondary coil is \(1000~\mathrm{V}\). The mutual inductance of the two coils is:
1. 1.25 H
2. 2.50 H
3. 5.00 H
4. 10.00 H