A bar magnet of magnetic moment `M_(1)` is axially cut into two equal parts. If these two pieces are arranged perpendiucular to each other, the resultant magnetic moment is `M_(2)`.
Then the vale of `(M_(1))/(M_(2))` is

Options

A. `(1)/(2sqrt2)`
B. 1
C. `(1)/(sqrt2)`
D. `sqrt2`

Explanation

To solve the problem, we need to find the ratio \( \frac{M_1}{M_2} \), where \( M_1 \) is the magnetic moment of the original bar magnet and \( M_2 \) is the resultant magnetic moment when the magnet is cut into two equal parts and arranged perpendicularly.

### Step-by-Step Solution:

1. **Understanding the Magnetic Moment of the Original Magnet**:
The magnetic moment of the original bar magnet is given as \( M_1 \).

2. **Cutting the Magnet**:
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