Question

If \( m \) is magnetic moment and \( B \) is the magnetic field, then the torque is given by:

• A. \( \mathbf{m} \cdot \mathbf{B} \)
• B. \( \mathbf{m} \times \mathbf{B} \)
• C. \( \left| \mathbf{m} \right| \left| \mathbf{B} \right| \)
• D. \( \frac{\mathbf{m}}{\left| \mathbf{B} \right|} \)

Hint:

The torque on a magnetic moment in a magnetic field is given by the cross product of the moment and the field vectors.

Answer 1

The Correct Option is B

Step 1: Torque formula.
The torque \( \tau \) on a magnetic moment \( \mathbf{m} \) in a magnetic field \( \mathbf{B} \) is given by the cross product: \[ \tau = \mathbf{m} \times \mathbf{B} \] This represents the force that causes rotational motion.
Thus, the correct answer is (2).