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The mass and the diameter of a planet a...

The mass and the diameter of a planet are three times the repective value 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:

A

`2/sqrt(3)s`

B

`3/2 s`

C

`2sqrt(3)s`

D

`sqrt(3)/2s`

Text Solution

Verified by Experts

The correct Answer is:
C

`T/T=sqrt(g/g), T'=2sqrt((GM(3R)^(2))/(R^(2)G(3m))`
`T,=2sqrt(3s).`
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