The period of a satellite in a circular orbit of radius R is T. What is the period of another satellite in a circular orbit of radius 4 R ?

Answer

A

Explanation

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