The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of a simple pendulum on the Earth is 2 s . The period of oscillation of the same pe

Question

The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of a simple pendulum on the Earth is 2 s . The period of oscillation of the same pendulum on the planet would be:

TestHub · Accepted Answer

Acceleration due to gravity g = R 2 GM ​ g e ​ g p ​ ​ = M e ​ M p ​ ​ ( R p ​ R e ​ ​ ) 2 = 3 ( 3 1 ​ ) 2 = 3 1 ​ Also T ∝ g ​ 1 ​ ⇒ T e ​ T p ​ ​ = g p ​ g e ​ ​ ​ = 3 ​ ⇒ T p ​ = 2 3 ​ s

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