A bar magnet of moment of inertia `1 xx 10^(-2)Kgm^(2)` vibrates in a magnetic field of induction `0.36 xx 10^(-4)` Tesla. The time period of vibration is 10 s. Find the magnetic moment of the bar magnet.

Explanation

To solve the problem, we need to find the magnetic moment \( m \) of a bar magnet given its moment of inertia \( I \), the magnetic field induction \( B \), and the time period \( T \) of its vibrations.

### Step-by-Step Solution:

1. **Write down the formula for the time period of a bar magnet:**
The time period \( T \) of a bar magnet oscillating in a magnetic field is given by the formula:
\[
T = 2\pi \sqrt{\frac{I}{mB}}
...