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 \[{{v}_{p}}=\sqrt{2{{g}_{p}}{{R}_{p}}}\] \[=\sqrt{2(3{{g}_{e}})(3{{R}_{e}})}\] \[\left[ \begin{align} & \because {{g}_{p}}=3{{g}_{e}} \\ & {{R}_{p}}=3{{R}_{e}} \\ \end{align} \right]\] \[{{V}_{p}}=3{{V}_{e}}\] \[=33.6m/s\]
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