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Time period of revolution of a nearest s...

Time period of revolution of a nearest satellite around a planet of radius R is T . Period of revolution around another planet, whose radius is 3R but having same density is

A

T

B

3T

C

9T

D

`3sqrt3T`

Text Solution

Verified by Experts

The correct Answer is:
A
Time period of satellite which is very near to planet
`T=2pi sqrt((R^(3))/(GM))=2pi sqrt((R^(3))/(G""4/3piR^(3)rho)) therefore T alpha sqrt(1/p)`
i.e. time period of nearest satellite does not depend upon the radius of planet, it only depends upon the density of the planet.
In the problem, density is same so time period will be same
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