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A freely falling body takes 2 seconds to reach the ground on a planet, when it is dropped from a height of 8m. If the period of a simple pendulum is π seconds on the planet. The length of a pendulum is (cm)

a
100
b
50
c
25
d
200

detailed solution

Correct option is A

equation of motion for a freely falling body is S=12gt2  here h=12gt2, given h=8given 8=12gp22 ⇒gp=4time period of simple pendulum T=2πlggiven T=π=2πl4  l=1 m=100 cm.

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