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The radius ofa planet is R1 and a satell...

The radius ofa planet is `R_1 `and a satellite revolves round it in a circle of radius `R_2`. The tiemperiod of revolution is T. find the acceleration due to the gravitational of the plane at its surface.

Text Solution

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The correct Answer is:
A, B, C, D
`T=2pi (sqrt(R_2^2)/(gR_1^2))`
or, ` T^2=4pi^2 R_2^2/(gR_1^2)`
or `g=(4pi^2)/T^2 R_2^2/R_1^2`
`:.` Acceleration due to gravity of the planet is
`=(4pi^2)/T^2=R_2^2/R_1^2`
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