Q. No.A circular loop carrying a current is replaced by an equivalent magnetic dipole. A point on the axis of the loop is in:
| 1. | end-on position |
| 2. | broadside-on position |
| 3. | both |
| 4. | none |
| a. | P1 and P2 |
| b. | Q1 and Q2 |
| c. | P1 and Q1 |
| d. | P2 and Q2 |
Choose the correct option:
1. (a), (b)
2. (b), (c)
3. (c), (d)
4. (a), (d)
| Statement I: | The magnetic field of a circular loop at very far away point on the axial line varies with distance as like that of a magnetic dipole. |
| Statement II: | The magnetic field due to magnetic dipole varies inversely with the square of the distance from the centre on the axial line. |
| 1. | Statement I is correct and Statement II is incorrect. |
| 2. | Statement I is incorrect and Statement II is correct. |
| 3. | Both Statement I and Statement II are correct. |
| 4. | Both Statement I and Statement II are incorrect. |
A short bar magnet of magnet moment \(0.4\) is placed in a uniform magnetic field of \(0.16\) . The magnet is in stable equilibrium when the potential energy is:
1. \(0.064\) J
2. \(-0.064\) J
3. zero
4.\(-0.082\) J
Which of the following, is independent of \(\theta?\)
1. \(E_B\cdot\tau_B\)
2. \(\frac{E_B}{\tau_B}\)
3. \(E_B^2+\tau_B^2\)
4. \(E_B^2-\tau_B^2\)
When a bar magnet is rotated from its position parallel to the external magnetic field \(B=10^{-3}\) T to a direction opposite to the field (anti-parallel), the work done is \(3\) J.
Then, the maximum torque experienced by this magnet in this field is:
1. \(3\times10^{-3}\) N-m
2. \(3\times10^{3}\) N-m
3. \(6\) N-m
4. \(1.5\) N-m
1. \(\frac{\pi}{\mu_0}\left(B_eR^3\right )\)
2. \(\frac{2\pi}{\mu_0}\left(B_eR^3\right )\)
3. \(\frac{4\pi}{\mu_0}\left(B_eR^3\right )\)
4. \(\frac{2}{\mu_0}\left(B_eR^3\right )\)
Three identical bar magnets, each having dipole moment \(M,\) are placed at the origin — oriented along the x-axis, the y-axis and the z-axis respectively. The net magnetic moment of the dipoles has the magnitude:
1. \(3~M\)
2. \(\sqrt2~M\)
3. \(\sqrt3~M\)
4. \(\text{zero}\)
| 1. | \(\frac{MB}{F}\) | 2. | \(\frac{BF}{M}\) |
| 3. | \(\frac{MF}{B}\) | 4. | \(\frac{F}{MB}\) |
The following figures show the arrangement of bar magnets in different configurations. Each magnet has a magnetic dipole. Which configuration has the highest net magnetic dipole moment?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
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