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Q.

The motion of a simple pendulum executing S.H.M. is represented by the following equation.
$y = A \sin (π t + ϕ)$ , where time is measured in second.
The length of pendulum is

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a

97.23 cm

b

406.1 cm

c

25.3 cm

d

99.4 cm

answer is C.

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Detailed Solution

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$\begin{aligned} ω = \sqrt{\frac{g}{ℓ}} = π \\ \frac{g}{ℓ} = π^{2} \Rightarrow ℓ = \frac{g}{π^{2}} \\ ℓ = \frac{980}{π^{2}} \approx 99.4 cm \end{aligned}$

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