1. | \(\dfrac{\mu_0i}{4r}\) |
2. | \(\dfrac{\mu_0i}{4r}+\dfrac{\mu_0i}{2\pi r}\) |
3. | \(\dfrac{\mu_0i}{4r}+\dfrac{\mu_0i}{4\pi r}\) |
4. | \(\left[\left(\dfrac{\mu_0i}{4r}\right)^2+\left(\dfrac{\mu_0i}{4\pi r}\right)^2\right]^{\frac12} \) |
1. | \(6.28 \times 10^{-4} ~\text{T} \) | 2. | \(6.28 \times 10^{-2}~\text{T}\) |
3. | \(12.56 \times 10^{-2}~\text{T}\) | 4. | \(12.56 \times 10^{-4} ~\text{T}\) |
1. | A linearly decreasing function of distance upto the boundary of the wire and then a linearly increasing one for the outside region. |
2. | Uniform and remains constant for both regions. |
3. | A linearly increasing function of distance upto the boundary of the wire and then a linearly decreasing one for the outside region. |
4. | A linearly increasing function of distance \(r\) upto the boundary of the wire and then decreasing one with \(1/r\) dependence for the outside region. |
The ratio of the radii of two circular coils is \(1:2.\) The ratio of currents in the respective coils such that the same magnetic moment is produced at the centre of each coil is:
1. | \(4:1\) | 2. | \(2:1\) |
3. | \(1:2\) | 4. | \(1:4\) |
1. | a parabolic path |
2. | the original path |
3. | a helical path |
4. | a circular path |
Statement I: | A charged particle moving in a magnetic field experiences a force which is zero only when it moves in the direction of the field or against it. |
Statement II: | Whenever a charged particle moves in a uniform magnetic field, its trajectory may be a circle, a straight line or a helix. |
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. |
1. | \(10\) \(\Omega \) | 2. | \(20\) \(\Omega \) |
3. | \(30\) \(\Omega \) | 4. | \(40\) \(\Omega \) |
Assertion (A): | In a uniform magnetic field, speed and energy remain the same for a moving charged particle. |
Reason (R): | Moving charged particle experiences a magnetic force perpendicular to its direction of motion. |
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. |