Question

$T_{0}$ is the time period of a simple pendulum at a place. If the length of the pendulum is reduced to $\frac {1}{16}$ times of its initial value, the modified time period is :

• A. $T_{0}$
• B. $8 \pi T_{0}$
• C. $4 T_{0}$
• D. $\frac{1}{4} T_{0}$

Answer 1

Answer: (D)

$T_{0}=2 \pi \sqrt{\frac{l}{g}}$
New time period $T=2 \pi \sqrt{\frac{l/ 16}{g}}$
$=\frac{2 \pi}{4} \sqrt{\frac{l}{g}}$
$T=\frac{T_{0}}{4}$