What is the magnetic dipole moment of the given loop?

| 1. | \({ 5 \over 2} \pi R^2I\) | 2. | \(3 \pi R^2I\) |
| 3. | \({ 3 \over 2} \pi R^2I\) | 4. | \(5 \pi R^2I\) |
| 1. | \(B\) acts along the \(x\text-\)axis |
| 2. | \(B\) acts along the \(y\text-\)axis |
| 3. | \(B\) acts along the \(z\text-\)axis |
| 4. | \(B\) can act along any of the above direction for the net force to be zero |

The dots in the figure depict a magnetic field that is perpendicular to the plane of the paper and emanates from it. The trajectory of a particle in the plane of the paper is depicted by the curve \(ABC\). What exactly is the particle?

| 1. | Proton. | 2. | Electron. |
| 3. | Neutron. | 4. | It cannot be predicted. |
| 1. | the speed will change. |
| 2. | the direction will change. |
| 3. | both (1) and (2) |
| 4. | none of the above |
Which of the following graphs correctly represents the variation of magnetic field induction with distance due to a thin wire carrying current?
| 1. | ![]() |
2. | ![]() |
| 3. | ![]() |
4. | ![]() |
| 1. | \(M\) | 2. | \(\sqrt{2} M\) |
| 3. | \(3 M\) | 4. | \(2 M\) |
When a \(12~\Omega\) resistor is connected in parallel with a moving coil galvanometer, its deflection reduces from \(50\) divisions to \(10\) divisions. What will be the resistance of the galvanometer?
1. \(24~\Omega\)
2. \(36~\Omega\)
3. \(48~\Omega\)
4. \(60~\Omega\)
If an ammeter \(A\) reads \(2\) A and the voltmeter \(V\) reads \(20\) V, what is the value of resistance \(R\)? (Assuming finite resistances of ammeter and voltmeter)

| 1. | Exactly \(10~\Omega\) |
| 2. | Less than \(10~\Omega\) |
| 3. | More than \(10~\Omega\) |
| 4. | We cannot definitely say |