A pan of 2 kg is attached to a spring balance. When a weight of 3 kg is placed on the pan. The spring is stretched by 12 cm. Calculate the frequency with which the empty pan will oscillate.

Explanation

To solve the problem, we need to calculate the frequency of oscillation of the empty pan attached to a spring balance. Here are the steps to arrive at the solution:

### Step 1: Understand the problem
We have a pan with a mass of 2 kg and a weight of 3 kg placed on it, causing the spring to stretch by 12 cm. We need to find the frequency of oscillation of the empty pan.

### Step 2: Identify the formula for frequency
The frequency of oscillation \( f \) for a mass-spring system is given by the formula:
\[
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