What is the geomwtric length of a bar magnet having pole strength 60 Am and magnetic moment `6 Am^(2)`?

Options

A. 20 cm
B. 8 cm
C. 12 cm
D. 0.1 m

Explanation

To find the geometric length of a bar magnet given its pole strength and magnetic moment, we can use the relationship between these quantities. The magnetic moment (M) of a bar magnet is given by the formula:

\[ M = p \times l \]

where:
- \( M \) is the magnetic moment,
- \( p \) is the pole strength, and
- \( l \) is the geometric length of the magnet.

Given:
- Pole strength \( p = 60 \, \text{Am} \)
- Magnetic moment \( M = 6 \, \text{Am}^2 \)

We need to find the geometric length \( l \).

### Step 1: Rearranging the formula
We can rearrange the formula to solve for \( l \):

\[ l = \frac{M}{p} \]

### Step 2: Substituting the values
Now, we can substitute the given values into the equation:

\[ l = \frac{6 \, \text{Am}^2}{60 \, \text{Am}} \]

### Step 3: Performing the calculation
Now, perform the division:

\[ l = \frac{6}{60} \]
\[ l = 0.1 \, \text{m} \]

### Conclusion
The geometric length of the bar magnet is \( 0.1 \, \text{m} \) or \( 10 \, \text{cm} \).

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