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Question

A satellite is launched in a circular orbit of radius R and another satellite is launched in circular orbit of radius 1.01R. The time period of second satellite is different from that of the first satellite by

A
1.5% increased
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B
1% decreased
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C
1% increased
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D
1.5% decreased
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Solution

The correct option is C 1.5% increased
Time period T=2πR3GM
if R is changed to R+δRT becomes T+δT
T+δT=2π(R+δR)3GM
dividing this by T, 1+δTT=(R+δRR)1.5
Simplifying this, δT=0.015T1.5%more than T.

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