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Question

Physics Question on Gravitation

The time period of an artificial satellite in a circular orbit is independent of

A

the mass of the satellite

B

radius of the orbit

C

mass of the earth and radius of the earth

D

None of the above

Answer

the mass of the satellite

Explanation

Solution

The time period of an artificial satellite is given by T=2π(Re+h)3gRe2T=2 \pi \sqrt{\frac{\left(R_{e}+h\right)^{3}}{g R_{e}^{2}}} where ReR_{e} is radius of earth and hh the height of satellite. From the above formula it is clear that time period of revolution does not depend upon the mass of the satellite.