On a planet, a body released from rest is found to freely fall through a distance of 8 m in 2 s. On that planet what is the time period of a simple pendulum of length 1 m?
A
seconds.
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B
seconds.
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C
seconds.
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D
seconds.
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Solution
The correct option is A seconds. For a freely falling body s=12gt2 ∴8=12g×4⇒g=4ms2. The time period of a simple pendulum is given by T=2π√lg Substituting, l = 1 m and g=4ms2, we get T = π seconds.