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

Explanation

To derive the expression for the time period \( T \) of a simple pendulum that depends on the mass \( m \) of the bob, the length \( l \) of the pendulum, and the acceleration due to gravity \( g \), we can follow these steps:

### Step 1: Establish the relationship
We start by assuming that the time period \( T \) is a function of the mass \( m \), length \( l \), and acceleration due to gravity \( g \). We can express this relationship as:
\[ T \propto m^a l^b g^c \]
where \( a \), \( b \), and \( c \) are the powers to which \( m \), \( l \), and \( g \) are raised, respectively.
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