Question

A bar magnet of magnetic moment \( M \), is placed in a magnetic field of induction \( B \). The torque exerted on it is

• A. \( M \times B \)
• B. \( - M \times B \)
• C. \( \vec{M} \times \vec{B} \)
• D. \( - \vec{M} \times \vec{B} \)

Hint:

The torque on a magnetic dipole in a magnetic field is given by \( \tau = \vec{M} \times \vec{B} \), where \( \vec{M} \) is the magnetic moment and \( \vec{B} \) is the magnetic field.

Answer 1

The Correct Option is C

Step 1: Use the formula for torque on a magnetic moment.
The torque \( \tau \) on a bar magnet in a magnetic field is given by: \[ \tau = \vec{M} \times \vec{B} \] where \( \vec{M} \) is the magnetic moment and \( \vec{B} \) is the magnetic field induction.
Step 2: Conclusion.
Thus, the torque exerted on the magnet is \( \vec{M} \times \vec{B} \).
Final Answer: \[ \boxed{\vec{M} \times \vec{B}} \]