1. | reducing relative motion between the core and magnet in an electric motor |
2. | by making the core of thin laminations |
3. | by increasing the conductor cross-sectional area |
4. | both (1) and (2) are correct |
Assertion (A): | A bar magnet is dropped into a long vertical copper tube. Even taking air resistance as negligible, the magnet attains a constant terminal velocity. If the tube is heated, the terminal velocity gets increased. |
Reason (R): | The terminal velocity does not depend on eddy current produced in copper tube. |
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. |
Assertion (A): | An external force F is needed to be applied in the direction of the velocity v so that the loop can move with constant velocity v. |
Reason (R): | As the loop moves towards the right, the magnetic flux decreases inducing an emf and a corresponding current. This current causes a retarding force to be exerted on the wire. |
1. | (A) is True but (R) is False. |
2. | (A) is False but (R) is True. |
3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Assertion (A): | Faraday's law of electromagnetic induction is a consequence of Biot-Savart law. |
Reason (R): | Currents cause magnetic fields and interact with magnetic flux. |
1. | (A) is true but (R) is false. |
2. | (A) is false but (R) is true. |
3. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
Assertion (A): | Faraday's law of electromagnetic induction is not consistent with the law of conservation of energy. |
Reason (R): | Lenz's law is consistent with energy conservation. |
1. | (A) is True but (R) is False. |
2. | (A) is False but (R) is True. |
3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Statement I: | The magnetic field due to a very long current-carrying solenoid, at its centre, is inversely proportional to the radius of the solenoid, other things remaining constant. |
Statement II: | \(I\) is directly proportional to \(I^2.\) | The magnetic energy stored in a solenoid carrying a current
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. |
List-I | List-II |
(a) inductance \(\times\) current | (i) V |
(b) frequency \(\times\) capacitance | (ii) Wb |
(c) frequency \(\times\) magnetic flux | (iii) \(\Omega^{-1}\) |
(d) electric flux | (iv) V-m |
1. | a - (i), b - (iv), c - (ii), d - (iii) |
2. | a - (ii), b - (iii), c - (i), d - (iv) |
3. | a - (iii), b - (i), c - (ii), d - (iv) |
4. | a - (iii), b - (iv), c - (ii), d - (i) |
A rectangular loop and a circular loop are moving out of a uniform magnetic field region (as shown in the figure) to a field-free region with a constant velocity v. In which loop do you expect the induced emf to be constant during the passage out of the field region? The field is normal to the loops.
1. Only in the case of the rectangular loop
2. Only in the case of the circular loop
3. In both cases
4. None of these
In a coil of resistance \(10\) \(\Omega\), the induced current developed by changing magnetic flux through it is shown in the figure as a function of time. The magnitude of change in flux through the coil in Weber is:
1. \(2\)
2. \(6\)
3. \(4\)
4. \(8\)
Assertion (A): | Lenz's law is in accordance with the conservation of energy. |
Reason (R): | The amount of mechanical energy lost against the induced emf or current is equal to the electrical energy reappearing in the circuit. |
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. |