A) \[\frac{3}{2}{{v}_{o}}\]
B) \[\frac{2}{3}{{v}_{o}}\]
C) \[\sqrt{\frac{2}{3}}{{v}_{o}}\]
D) \[\sqrt{\frac{3}{2}}{{v}_{o}}\]
Correct Answer: C
Solution :
The orbital velocity of a satellite orbiting in a circular orbit at a height h above the earths surface is where R is radius of earth, G the gravitational constant and Mg the mass of earth. Given, \[h=\frac{R}{2}\] \[\therefore \] \[v_{0}^{}=\sqrt{\frac{GM}{R+\frac{R}{2}}}\] \[=\sqrt{\frac{GM}{\frac{3}{2}{{R}_{e}}}}=\sqrt{\frac{2}{3}}.\,{{v}_{0}}\]You need to login to perform this action.
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