Derive an expression for time period (t) of a simple pendulem, which may depend upon : mass of bob (m), length of pendulum (I) and acceleration due to gravity(g).

Explanation

To derive the expression for the time period (T) of a simple pendulum, we will follow a systematic approach using dimensional analysis. The time period of a pendulum is influenced by the mass of the bob (m), the length of the pendulum (L), and the acceleration due to gravity (g).

### Step-by-Step Solution:

1. **Assume the Relationship**:
We assume that the time period \( T \) can be expressed as:
\[
T = k \cdot m^A \cdot L^B \cdot g^C
...