A) \[11.2\text{ }km{{s}^{-1}}\]
B) \[22.4\text{ }km{{s}^{-1}}\]
C) \[33.6\text{ }km{{s}^{-1}}\]
D) \[5.6\text{ }km{{s}^{-1}}\]
Correct Answer: C
Solution :
Escape speed on the earth surface \[{{v}_{e}}=\sqrt{2{{g}_{e}}{{R}_{e}}}\] \[11.2=\sqrt{2{{g}_{e}}{{R}_{e}}}\] ?..(i) Escape speed on the planet surface \[{{v}_{p}}=\sqrt{2{{g}_{p}}{{R}_{p}}}\] \[=\sqrt{2(3\,{{g}_{e}})\,(3{{R}_{e}})}\] \[\left[ \begin{align} & \because \,\,{{g}_{p}}=3{{g}_{e}} \\ & {{R}_{p}}=3{{R}_{e}} \\ \end{align} \right]\] \[=3\sqrt{2{{g}_{e}}{{R}_{e}}}\] \[{{V}_{p}}=3{{V}_{e}}=33.6m/s\]
You need to login to perform this action.
You will be redirected in
3 sec
