A simple pendulum consists of a bob, which is a hollow sphere filled with a liquid completely. If a hole is made into the sphere at its bottom so that the liquid starts flowing out of it, how will the time period of the pendulum be affected? Consider that the liquid has uniform density.

Explanation

To analyze how the time period of a simple pendulum is affected when a hole is made in a hollow sphere bob filled with liquid, we can follow these steps:

### Step 1: Understand the Time Period Formula
The time period \( T \) of a simple pendulum is given by the formula:
\[ T = 2\pi \sqrt{\frac{L_{\text{effective}}}{g}} \]
where \( L_{\text{effective}} \) is the effective length of the pendulum and \( g \) is the acceleration due to gravity.
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