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Question

A geostationary satellite is orbiting the earth at a height of 6 R above the surface of the earth, R being the radius of the earth. The time period of another satellite at a height of 2.5 R from the surface of earth is

A
62 hr
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B
6 hr
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C
5 hr
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D
10 hr
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Solution

The correct option is A 62 hr
Distance of satellite from center of the earth are 7R and 3.5R respectively.
Time period of geostationary satellite is 24hr
T2T1=(R2R1)3/2
T2=24(3.5R7R)3/2=62hr

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