A) 2
B) \[\sqrt{2}\]
C) \[\frac{1}{\sqrt{2}}\]
D) \[\frac{1}{2}\]
Correct Answer: A
Solution :
Escape velocity is given by \[{{v}_{e}}=\sqrt{\frac{2GM}{R}}=\sqrt{\frac{2G}{R}\times \frac{4}{3}\pi {{R}^{3}}\rho }\] \[\Rightarrow \] \[{{v}_{e}}=R\sqrt{\frac{8}{3}\pi G\rho }\] \[\therefore \] \[\frac{{{v}_{A}}}{{{v}_{B}}}=\frac{{{R}_{A}}}{{{R}_{B}}}=2\]You need to login to perform this action.
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