Answer the following question :
The motion of a simple pendulum is approximately simple harmonic for small angle oscillations. For larger angles of oscillation, a more involved analysis shows that T is greater than `2pisqrt(l/g)`, Think of a qualitative argument to appreciate this result.

Explanation

The restoring force for the bob of the pendulum from its equilibrium position is, `F= -mg sin theta`
If `theta` is small, then `sin theta approx theta` hence time period of simple pendulum `T= 2pi sqrt((l)/(g))` but it `theta` is large then `sin theta approx theta` is not to be taken and hence time period of simple pendulum `T= 2pi sqrt((l)/(g))` gets slightly large.