A hollow sphere is taken as bob of a simple pendulum. This hollow sphere is filled with fine sand. There is a small hole at the bottom of this sphere through which the fine sand leaks out. How does the time period of this simple pendulum alter? Discuss.

Explanation

To solve the problem, we need to analyze how the time period of a simple pendulum changes when a hollow sphere filled with sand has sand leaking out of it.

### Step-by-Step Solution:

1. **Understanding the Pendulum System**:
- We have a hollow sphere acting as the bob of a simple pendulum. The sphere is filled with fine sand and has a small hole at the bottom through which the sand leaks out.

2. **Time Period of a Simple Pendulum**:
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