question_answer

A geostationary satellite is orbiting the earth at a height of 5R above that surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of the earth is         [AIPMT (S) 2012]

A) 5

B) 10        

C) \[6\sqrt{2}\]

D) \[6/\sqrt{2}\]

Correct Answer: C

Solution :

From Keplar third's law

Hence,

and

So,

or