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. |
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): | 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): | 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): |
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 . Keeping A fixed, when B is raised by a small height dh, the net work done by external force per unit length will be gdh. |
Reason (R): | The work done by 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. |
A cylindrical conductor of radius \(R\) is carrying a constant current. The plot of the magnitude of the magnetic field \(B\) with the distance \(d\) from the centre of the conductor is correctly represented by the figure:
1. | 2. | ||
3. | 4. |
1. | 2. | ||
3. | 4. |
The magnetic field due to a straight conductor of a uniform cross-section of radius \(a\) and carrying a steady current is represented by:
1. | 2. | ||
3. | 4. |
A particle having a mass of \(10^{-2}\) kg carries a charge of \(5\times 10^{-8}~\mathrm{C}\). The particle is given an initial horizontal velocity of \(10^5~\mathrm{ms^{-1}}\) in the presence of electric field \(\vec{E}\) and magnetic field \(\vec{B}\) . To keep the particle moving in a horizontal direction, it is necessary that:
(a) | \(\vec{B}\) should be perpendicular to the direction of velocity and \(\vec{E}\) should be along the direction of velocity. |
(b) | Both \(\vec{B}\) and \(\vec{E}\) should be along the direction of velocity. |
(c) | Both \(\vec{B}\) and \(\vec{E}\) are mutually perpendicular and perpendicular to the direction of velocity |
(d) | \(\vec{B}\) should be along the direction of velocity and \(\vec{E}\) should be perpendicular to the direction of velocity. |
Which one of the following pairs of statements is possible?
1. | (c) and (d) |
2. | (b) and (c) |
3. | (b) and (d) |
4. | (a) and (c) |
Given below are two statements:
Statement I: | \(\overrightarrow{dl}\) of a current-carrying wire carrying a current, \(I\) is given by: \(\overrightarrow{dB}=\dfrac{\mu_0}{4\pi}~I\left(\overrightarrow{dl}\times\dfrac{\overrightarrow r}{r^3}\right )\), where \(\vec{r}\) is the position vector of the field point with respect to the wire segment. |
The magnetic field due to a segment
Statement II: | The magnetic field of a current-carrying wire is never parallel to the wire. |
1. | Statement I and Statement II are True and Statement I is the correct explanation of Statement II. |
2. | Statement I and Statement II are True and Statement I is not the correct explanation of Statement II. |
3. | Statement I is True, Statement II is False. |
4. | Statement I is False, Statement II is True. |