A) \[11.2\,km/s\]
B) \[22.4\,km/s\]
C) \[5.6\text{ }km/s\]
D) \[44.8\,km/s\]
Correct Answer: B
Solution :
\[{{V}_{es}}\] for earth is \[11.2\text{ }km/sec.\] \[{{v}_{es}}=\sqrt{\frac{2G{{M}_{e}}}{{{R}_{e}}}}=11.2km/\sec .\] \[v{{'}_{es}}=\sqrt{\frac{2G{{M}_{e}}\times 4}{{{R}_{e}}}}=2\sqrt{\frac{2G{{M}_{e}}}{{{R}_{e}}}}=2\times 11.2\] \[=22.4\,km/\sec .\]
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