Question

A simple pendulum has some time period t . what will be the percentage change in its time period if its amplitude is decreased by 5% ?

a.0.06
b.0.03
c.0.015
d.0

Answer 1

The percentage change in the time period of a simple pendulum will be 0% when its amplitude is decreased by 5%. The correct answer is option d) 0.

Step-by-step explanation:

To determine the percentage change in the time period of a simple pendulum when its amplitude is decreased by 5%, we need to examine the relationship between the amplitude and the time period.

For small amplitudes (less than about 15°), the time period of a simple pendulum can be approximated using the formula:

T = 2π√(L/g)

where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity. Since the amplitude of a pendulum does not affect its length, decreasing the amplitude by 5% will not have any effect on the time period. Therefore, the percentage change in the time period will be 0.