If the length of a simple pendulum with a period T is reduced to half of its original value,the new period T is approximately
A)0.5T
B)0.7T
C)T (unchanged)
D)1.4T
E)2T

Question

Quizplus · Accepted Answer

The period of a simple pendulum is given by $T = 2\pi\sqrt{\frac{L}{g}}$, where $L$ is the length of the pendulum and $g$ is the acceleration due to gravity. If the length $L$ is reduced to half, the new period $T'$ becomes $T' = 2\pi\sqrt{\frac{L/2}{g}} = T/\sqrt{2} \approx 0.7T$.

If the Length of a Simple Pendulum with a Period