A) \[\frac{R}{r}\frac{{{\rho }_{e}}}{{{\rho }_{m}}}\]
B) \[\frac{r}{R}\frac{{{\rho }_{e}}}{{{\rho }_{m}}}\]
C) \[\frac{r}{R}\frac{{{\rho }_{m}}}{{{\rho }_{e}}}\]
D) \[\frac{R}{r}\frac{{{\rho }_{e}}}{{{\rho }_{m}}}\]
Correct Answer: A
Solution :
\[g=\frac{4}{3}\pi \rho GR\]\\[g\propto r\rho \]\ \[\frac{{{g}_{e}}}{{{g}_{m}}}=\frac{R}{r}\times \frac{{{\rho }_{e}}}{{{\rho }_{m}}}\]You need to login to perform this action.
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