JEE Main · 2021 · 22 Jul 2021 · Shift 2 · Elasticity & SHM

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 :

Answer: (D)

Solution

The time period of a simple pendulum is

T = 2 π \frac{ℓ}{g}

.

When length becomes

ℓ^{'} = \frac{ℓ}{16}

\frac{T ^{'}}{T _{0}} = \frac{ℓ ^{'}}{ℓ} = \frac{1}{16} = \frac{1}{4}

Therefore,

T^{'} = \frac{T _{0}}{4}

JEE Main · 2021 · 22 Jul 2021 · Shift 2 · Single correct option