Final answer:
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.