1.

Given radius of Earth ?R? and length of a day ?T? the height of a geostationary satellite is [G?Gravitational Constant, M?Mass of Earth]                                [MP PMT 2002]

A.              \[{{\left( \frac{4{{\pi }^{2}}GM}{{{T}^{2}}} \right)}^{1/3}}\]
B.               \[{{\left( \frac{4\pi GM}{{{R}^{2}}} \right)}^{1/3}}-R\]
C.             \[{{\left( \frac{GM{{T}^{2}}}{4{{\pi }^{2}}} \right)}^{1/3}}-R\]
D.             \[{{\left( \frac{GM{{T}^{2}}}{4{{\pi }^{2}}} \right)}^{1/3}}+R\]
Answer» D.             \[{{\left( \frac{GM{{T}^{2}}}{4{{\pi }^{2}}} \right)}^{1/3}}+R\]


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