Two magnets have their lengths in the ratio 2:3 and their pole strengths in the ratio 3:4. Find the ratio of their magnetic moments.

Explanation

To find the ratio of the magnetic moments of two magnets given their lengths and pole strengths, we can follow these steps:

### Step 1: Understand the given ratios
We are given:
- The ratio of lengths of the two magnets, \( \frac{L_1}{L_2} = \frac{2}{3} \)
- The ratio of pole strengths of the two magnets, \( \frac{M_1}{M_2} = \frac{3}{4} \)

### Step 2: Recall the formula for magnetic moment
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