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

`sin theta lt theta` , if the restoring force, `mg sin theta` is replaced by `mgtheta`, this amounts to effective reduction in angular acceleration [Eq.(14.27)] for large angles and hence an increase in time period T over that given by the formula `T=2pisqrt(l/g)` where one assumes `sintheta=theta`