${T}_{0}$ 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
JEE MAIN 2021, Easy
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Time period of a simple pendulum
${T}_{0}=2 \pi \sqrt{\frac{\ell}{{g}}}$
New time period ${T}=\sqrt[2 \pi]{\frac{\ell / 16}{{g}}}=\frac{2 \pi}{4} \sqrt{\frac{\ell}{{g}}}$
${T}=\frac{{T}_{0}}{4}$
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