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What is the height of a geostationary satellite in terms of M, R, G and T? (T=Length of the day and the other symbols have their usual meanings in the following options.)A. `((GMT^(2))/(4pi^(2)))^(1//3)+R`B. `((GMT^(2))/(4pi^(2)))^(1//3)-R`C. `((4pi^(2)GM)/(T^(2)))^(1//3)`D. `((4piGM)/(R^(2)))^(1//3)-R` |
Answer» Correct Answer - B `T = 2pi sqrt(((R+h)^(3))/(GM))` `therefore T^(2)=(4pi^(2)(R+h)^(3))/(GM)` `therefore R+h=[(GMT^(2))/(4pi^(2))]^(1//3)` `therefore h=[(GMT^(2))/(4pi^(2))]^(1//3)-R` |
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