A) \[\frac{3}{2}v\]
B) \[\sqrt{\frac{3}{2}}\,v\]
C) \[\sqrt{\frac{2}{3}}\,v\]
D) \[\frac{2}{3}\,v\]
Correct Answer: C
Solution :
\[v=\sqrt{\frac{GM}{R+h}}\] For first satellite \[h=0\], \[{{v}_{1}}=\sqrt{\frac{GM}{R}}\] For second satellite \[h=\frac{R}{2}\], \[{{v}_{2}}=\sqrt{\frac{2GM}{3R}}\] \[{{v}_{2}}=\sqrt{\frac{2}{3}}{{v}_{1}}=\sqrt{\frac{2}{3}}v\]You need to login to perform this action.
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