Question

if the amplitude of oscillation of a simple pendulum is increased by 20% then percentage change in time period will be​

Answer 1

Percentage change in time period will be​ zero.

Explanation:

1. Time period of simple pendulum $T=2\pi \sqrt{\frac{L}{g}}$    ...1)

  In case of simple pendulum

  Restoring force is gravitational force, which converted into restoring moment as we displaced the pendulum from mean equilibrium position.

2. Restoring force is depend upon gravitational acceleration.

3.  Restoring moment is depend upon length of pendulum.

4.  From point 2 and point 3 and also from equation 1), it is clear that

    Time period of simple pendulum is depend upon length of simple    pendulum.

   

   Time period of simple pendulum is depend upon gravitational acceleration.

5. It do not depend upon

   Mass of pendulum and amplitude of oscillation.

6. As time period do not depend upon amplitude of oscillation.  So on changing the amplitude of oscillation, change in time period will be zero.