The combination of two bar magnets makes 10 oscillations per second in an oscillation magnetometer when like poles are tied together and 2 oscillations per second when unlike poles are tied together. Find the ratio of the magnetic moments of the magnets. Neglect any induced magnetism.

Explanation

To solve the problem, we need to find the ratio of the magnetic moments of two bar magnets based on their oscillation frequencies when their like and unlike poles are tied together. Let's break down the solution step by step.

### Step 1: Understand the relationship between frequency and magnetic moment
The frequency of oscillation \( f \) of a magnet in a magnetic field is given by the formula:
\[ f = \frac{1}{2\pi} \sqrt{\frac{mB}{L}} \]
where:
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