Q. No.A square loop of side \(1\) m and resistance \(1\) \(\Omega\) is placed in a magnetic field of \(0.5\) T. If the plane of the loop is perpendicular to the direction of the magnetic field, the magnetic flux through the loop is:
1.
\(0\)
2.
\(2\) weber
3.
\(0.5\) weber
4.
\(1\) weber
| 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. |
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. | 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. \(5\) V
2. \(4\) V
3. \(3\) V
4. zero
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-plane in a region where the magnetic field is given by \(\vec{B}=B_{0}\left ( 2\hat{i} +3\hat{j}+4\hat{k}\right )~T\) where \(B_{0}\) is constant. The magnitude of flux passing through the square will be:
1.
2.
3.
4.
The adjoining figure shows two different arrangements in which two square wireframes are placed in a uniform magnetic field B decreasing with time.
The direction of the induced current I in the figure is:
| 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
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