| 1. | \(E_B\cdot\tau_B\) | 2. | \(\dfrac{E_B}{\tau_B}\) |
| 3. | \(E_B^2+\tau_B^2\) | 4. | \(E_B^2-\tau_B^2\) |
| 1. | \(\dfrac{-mB}{2}\) | 2. | zero |
| 3. | \(-mB\) | 4. | \(mB\) |
Magnetic induction at an axial point of a short magnet at a distance \(r\) from the centre of dipole is \(\vec B\). Its value at the equatorial point of the short magnet at the same distance from the centre of dipole is:
| 1. | \(-\vec B\) | 2. | \(\dfrac{\vec B}{2}\) |
| 3. | \(\vec B\) | 4. | \(\dfrac{-\vec B}{2}\) |
The ratio of the magnitudes of the equatorial and axial fields due to a bar magnet of length \(5.0~\text{cm}\) at a distance of \(50~\text{cm}\) from its mid-point is:
(given, the magnetic moment of the bar magnet is \(0.40~\text{Am}^{2}\))
1. \(\dfrac{1}{2}\)
2. \(2\)
3. \(1\)
4. \(\dfrac{3}{2}\)
| 1. | \(0.38~\text{G}\) along the \(\text{N-S}\) direction. |
| 2. | \(0.48~\text{G}\) along the \(\text{N-S}\) direction. |
| 3. | \(0.38~\text{G}\) along the \(\text{S-N}\) direction. |
| 4. | \(0.48~\text{G}\) along the \(\text{S-N}\) direction. |
| Assertion (A): | Gauss's law for magnetism states that the net magnetic flux through any closed surface is zero. |
| Reason (R): | The magnetic monopoles do not exist. North and South poles occur in pairs, allowing vanishing net magnetic flux through the surface. |
| 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). |
| 1. | negative | 2. | zero |
| 3. | positive | 4. | infinity |
| (a) | electrostatic field lines can end on charges and conductors have free charges. |
| (b) | lines of \(B\) can also end but conductors cannot end them. |
| (c) | lines of \(B\) cannot end on any material and perfect shielding is not possible. |
| (d) | shells of high permeability materials can be used to divert lines of \(B\) from the interior region. |