A) mass of the earth
B) mass of the satellite
C) radius of the earth
D) acceleration due to gravity
Correct Answer: B
Solution :
Orbital velocity of satellite \[{{v}_{o}}=\sqrt{g{{R}_{e}}}\] \[=\sqrt{\frac{G{{M}_{e}}}{R_{e}^{2}}\times {{R}_{e}}}\] \[\left\{ \therefore \,\,g=\frac{G{{M}_{e}}}{R_{e}^{2}} \right\}\] \[=\sqrt{\frac{G{{M}_{e}}}{{{R}_{e}}}}\] Hence, linear velocity of satellite in circular orbit does not depend on the mass of satellite.
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