A ball of radius r is made to oscillate in a bowl of radius R, find its time period of oscillation.

Explanation

To find the time period of oscillation of a ball of radius \( r \) in a bowl of radius \( R \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the System**:
- We have a bowl with a larger radius \( R \) and a ball with a smaller radius \( r \) oscillating within it. The motion of the ball can be compared to that of a simple pendulum.

2. **Identify the Effective Length**:
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