A) \[\frac{g}{2}\]
B) \[\frac{g}{3}\]
C) \[\frac{g}{7}\]
D) \[\frac{g}{5}\]
Correct Answer: D
Solution :
We know, \[g=\frac{G{{M}_{e}}}{{{R}_{e}}2}and\,\,g'=\frac{G{{M}_{m}}}{{{R}_{m}}2}\] \[\frac{g}{g}=\frac{{{M}_{m}}}{{{M}_{e}}}{{\left( \frac{{{R}_{e}}}{{{R}_{m}}} \right)}^{2}}=\frac{1}{80}\times {{\left( \frac{4}{1} \right)}^{2}}=\frac{1}{5}\] \[\Rightarrow g'=g/5\]
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