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 $$($$ in centi $$meter)$$

Question

Infinity Learn · Accepted Answer

A freely falling body,$$u=0$$, then height h from where body is dropped is        $$h=12gt2$$  , given $$h=8$$, g is acceleration due to gravity        $$8=12gp22$$,         gp is acceleration due to gravity on planet   ⇒$$gp=4$$             ,substitute in time period of simple pendulum       $$T=2$$$$π$$lgp      , given Time period $$T=$$π        π$$=2$$$$π$$$$l4$$ ⇒ $$l=1$$ $$m=100$$ centi meter.

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 ( in centi meter)

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