T0 is the time period of a simple pendulum at a place. if the length of the pendulum is reduced to 1/16 times of its initial value, the modified time period is: (a) 4 T0 (b) 1/4 T0 (c) T0 (d) 8 π T0

Answer: (b). T ∝ √(l) l' = l/16 ⇒ T' = T₀/4 So the answer is (b) 1/4T₀.

T0 is the time period of a simple pendulum at a place. if the length… | JEE Main 2021 (22 Jul, Shift 2)

Q60JEE Main 2021 · 22 JUL · SHIFT 2Easy

Simple Pendulum

T0 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:

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Answer: (b)

$T \propto \sqrt{l}$
$l' = \frac{l}{16} \Rightarrow T' = \frac{T_0}{4}$
So the answer is (b) $\frac{1}{4}T_0$ .

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