A) \[2R\]
B) \[4R\]
C) \[\frac{1}{4}R\]
D) \[\frac{1}{2}R\]
Correct Answer: D
Solution :
\[g=\frac{4}{3}\pi \rho GR\] Þ \[\frac{{{R}_{p}}}{{{R}_{e}}}=\left( \frac{{{g}_{p}}}{{{g}_{e}}} \right)\ \left( \frac{{{\rho }_{e}}}{{{\rho }_{p}}} \right)=\left( 1 \right)\times \left( \frac{1}{2} \right)\] Þ\[{{R}_{p}}=\frac{{{R}_{e}}}{2}=\frac{R}{2}\]
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