A bar magnet of length 5cm, width 3cm and height 2cm takes 5s to complete an oscillation in viberation magnetometer placed in a horizontal magnetic field of `20muT`. The mass of this bar magnet is 250g(a). Find the magnetic moment of the magnet. (b) If the magnet is put in the magnetormer with its 0.5cm edge horizontal, what would be the new time period?

Explanation

To solve the problem step by step, we will break it down into two parts as given in the question.

### Part (a): Finding the Magnetic Moment of the Magnet

**Step 1: Calculate the Moment of Inertia (I)**
The moment of inertia \( I \) of a rectangular bar magnet can be calculated using the formula:
\[
I = \frac{m (l^2 + b^2)}{12}
...