A) \[3\,\,km/s\]
B) \[16\,\,km/s\]
C) \[7.15\,\,km/s\]
D) \[8\,\,km/s\]
Correct Answer: C
Solution :
\[{{v}_{0}}=\sqrt{\frac{GM}{r}}=\sqrt{\frac{g{{R}^{2}}}{r}}=\sqrt{\frac{10\times {{(64\times {{10}^{5}})}^{2}}}{8000\times {{10}^{3}}}}\] \[=71.5\times {{10}^{2}}\,m/s=7.15\,km/s\]
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