A) \[\frac{G}{g}R_{E}^{2}\]
B) \[\frac{g}{G}R_{E}^{2}\]
C) \[\frac{g}{G}R_{{}}^{2}\]
D) \[\frac{G}{g}R_{E}^{3}\]
Correct Answer: B
Solution :
Force, \[F=G\frac{{{M}_{E}}m}{R_{E}^{2}}\] \[mg=G\frac{{{M}_{E}}m}{R_{E}^{2}}\] \[(\therefore \,F=mg)\] \[g=\frac{G{{M}_{E}}}{R_{E}^{2}}\] or \[{{M}_{E}}=\frac{gR_{E}^{2}}{G}\]
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