1.

The time period of a satellite is independent of the mass of the satellite.(a) True(b) FalseThis question was addressed to me in exam.My question is from Gravitation topic in section Gravitation of Physics – Class 11

Answer»

Right ANSWER is (a) True

The explanation is: For a satellite of mass “m” revolving around a PLANET of mass “M” and RADIUS

“R” at a height “H” above the surface, the satellite traverses a DISTANCE [2 x pi x (R + h)] in time “T” if the orbital velocity is “v”.

Hence, the time periods (T) = [2 x pi x (R + h)]/v

We know; orbital velocity (v) = [(G x M)/(R+h)]^1/2

Hence; T = [2 x pi x (R + h)^3/2/(G X M)^½], which is independent of the mass of the satellite.



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