A) 9.8 \[m{{s}^{-2}}\]
B) 1.96 \[m{{s}^{-2}}\]
C) 3.92 \[m{{s}^{-2}}\]
D) 4.9 \[m{{s}^{-2}}\]
Correct Answer: C
Solution :
\[g=\frac{GM}{{{R}^{2}}}\] \[\Rightarrow \,\,\,\,\frac{g'}{g}\,=\,\frac{M'}{M}\,\,\times \,\,{{\left( \frac{R}{R'} \right)}^{2}}=\frac{1}{10}\times {{(2)}^{2}}\] \[\Rightarrow \,\,\,\,g'\,\,=\,\,\frac{2}{5}\,\times \,9.8\,\,=\,\,\frac{19.6}{5}\] \[=\text{ }3.92\,\,m/{{s}^{2}}\]
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