Assertion (A): | Work done by magnetic force on a charged particle moving in a uniform magnetic field is zero. |
Reason (R): | Path of a charged particle in a uniform magnetic field, projected in the direction of field, will be a straight line. |
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): | \(\alpha\)-particle enter in a uniform magnetic field perpendicularly with the same speed, the time period of revolution of \(\alpha\)-particle is double to that of a proton. | If a proton and an
Reason (R): | In a magnetic field, the period of revolution of a charged particle is directly proportional to the charge of the particle and inversely proportional to the mass of the particle. |
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): | Magnetic field interacts with a moving charge and not with a stationary charge. |
Reason (R): | A moving charge produces a magnetic field, which interacts with another magnetic field. |
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): | If a charged particle is moving on a circular path in a perpendicular magnetic field, the momentum of the particle is not changing. |
Reason (R): | The velocity of the particle is not changing in the magnetic field. |
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: | Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element \((Idl)\) of a current-carrying conductor only. |
Statement II: | Biot-Savart's law is analogous to Coulomb's inverse square law of charge \(q,\) with the former being related to the field produced by a scalar source, \((Idl)\) while the latter being produced by a vector source, \(q.\) |
1. | Statement I is incorrect but 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 but Statement II is incorrect. |
Given below are two statements:
Assertion (A): |
Two straight current-carrying conductors A and B are lying in a vertical plane as shown. The separation between them is h and mass per unit length is \(𝜆 .\) Keeping \(A\) fixed, when \(B\) is raised by a small height \(dh,\) the net work done by external force per unit length will be \(𝜆 gdh.\) |
Reason (R): | The work done by the magnetic field during this process is non-zero. |
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. |
Given below are two statements:
Assertion (A): | In the arrangement shown, the hoop carries a constant current. This hoop can remain stationary under the effect of the magnetic field of the bar magnet.![]() |
Reason (R): | When a magnetic dipole is placed in a non-uniform magnetic field, it experiences a force opposite to the external magnetic field at its center. |
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. |
Given below are two statements:
Assertion (A): | A uniformly moving charged particle in a uniform magnetic field, may follow a path along magnetic field lines. |
Reason (R): | The direction of the magnetic force experienced by a charged particle is perpendicular to its velocity and magnetic field. |
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. |
Given below are two statements:
Assertion (A): | Two parallel wires carrying current in the same direction attract each other, whereas two proton beams moving parallel to each other repel each other. |
Reason (R): | Wire-carrying current is electrically neutral, therefore it is experiencing only magnetic attraction while the electric force of repulsion between protons is more than magnetic attraction. |
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. |
Given below are two statements:
Assertion (A): | No electric current will be present within a region having a uniform and constant magnetic field. |
Reason (R): | Within a region of uniform and constant magnetic field the path integral of the magnetic field along any closed path is zero. Hence from ampere circuital law \(\varphi \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{dl}}=\mu_0 1\) (where the given terms have usual meaning), no current can be present within a region having a uniform and constant magnetic field. |
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. |