Periodic time (T) of a satellite revolving above Earth’s surface at a height equal to the radius of Earth (R), is g=9.8m/s2
A
2π√Rg
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B
8π√Rg
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C
4√2π√Rg
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D
2π√2Rg
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Solution
The correct option is C4√2π√Rg Given:
height h = R (radius of earth)
according to the formula for time period T=2π√(R+h)3GM
Since h = R (given), andg=GMR2⇒GM=gR2, T=2π√(R+R)3gR2 T=2π√8Rg=4√2π√Rg