1. | The force on the loop is \(4iaB\). |
2. | The torque on the loop is \(ia^2B\). |
3. | \(\sqrt {2} iaB\). | The force on the loop is
4. | \(\sqrt{2}ia^2B\). | The torque on the loop is
1. | \(\dfrac{\mu_{0} i}{2 \pi d}\) | 2. | \(\dfrac{2\mu_{0} i}{2 \pi d}\) |
3. | \(\dfrac{\sqrt 3\mu_{0} i}{2 \pi d}\) | 4. | zero |
When a particle of charge \(q\) and mass \(m\) is projected perpendicular to a magnetic field, it moves in a circle of radius \(r.\) When the particle is projected upward with the same kinetic energy in a uniform gravitational field \((g)\), it rises to a height \(h\). The magnetic field is:
1. | \(\dfrac{m}{q r} \sqrt{\dfrac{g h}{2}}\) | 2. | \(\dfrac{2m}{q r} \sqrt{\dfrac{g h}{2}}\) |
3. | \(\dfrac{m}{2q r} \sqrt{\dfrac{g h}{2}}\) | 4. | none of the above. |
1. | case (I) but not in case (II). |
2. | case (II) but not in case (I). |
3. | both cases (I) and (II). |
4. | neither of cases (I) and (II). |
1. | \(\dfrac{\mu_{0} i^{2} L}{2 \pi r}\) | 2. | \(\dfrac{\mu_{0} i^{2} L}{4 \pi r}\) |
3. | \(\dfrac{\mu_{0} i^{2} L}{2 r}\) | 4. | \(\dfrac{\mu_{0} i^{2} L}{4 r}\) |
1. | \(2\) | 2. | \( \dfrac{1} {2}\) |
3. | \(1\) | 4. | \(4\) |
1. | \(\dfrac{\mu_{0} i^{2}}{2 \pi r}\) | 2. | \(\dfrac{\mu_{0} i^{2}}{4 \pi r}\) |
3. | \(\dfrac{\sqrt{2} \mu_{0} i^{2}}{2 \pi r}\) | 4. | \( \dfrac{\mu_{0} r^{2}}{2 \pi r \sqrt{2}}\) |