How would the time period of a simple pendulum be affected if (a) the length is doubled (b) the amplitude is doubled ?

Explanation

To solve the question regarding how the time period of a simple pendulum is affected by changes in length and amplitude, we will follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Time Period**:
The time period \( T \) of a simple pendulum is given by the formula:
\[
T = 2\pi \sqrt{\frac{L}{g}}
...