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Question

Physics Question on Gravitation

The time period of an earth satellite in circular orbit is independent of

A

the mass of the satellite

B

radius of its orbit

C

both the mass and radius of the orbit

D

neither the mass of the satellite nor the radius of its orbit.

Answer

the mass of the satellite

Explanation

Solution

The time period of satellite is given by T=2π(R+h)3GMT = 2\pi\sqrt{\frac{\left(R+h\right)^{3}}{GM}} where, R + h = radius of orbit satellite, M = mass of earth.