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Question

Question: A satellite revolving around a planet has a time period T and orbital radius R the mass of the this ...

A satellite revolving around a planet has a time period T and orbital radius R the mass of the this planet is -

A

B

C

D

4π2R3GT2\frac { 4 \pi ^ { 2 } \mathrm { R } ^ { 3 } } { \mathrm { GT } ^ { 2 } }

Answer

4π2R3GT2\frac { 4 \pi ^ { 2 } \mathrm { R } ^ { 3 } } { \mathrm { GT } ^ { 2 } }

Explanation

Solution

T = 2pR3GM\sqrt { \frac { \mathrm { R } ^ { 3 } } { \mathrm { GM } } }Ž T2 = 4p2 R3GM\frac { \mathrm { R } ^ { 3 } } { \mathrm { GM } } Ž M=