Considering Earth to be a sphere of radius $R$ having uniform density $\rho$,the value of acceleration due to gravity $g$ in terms of $R$,$\rho$,and $G$ is:

  • A
    $g=\sqrt{\frac{3 \pi R}{\rho G}}$
  • B
    $g=\sqrt{\frac{4}{3} \pi \rho GR}$
  • C
    $g=\frac{4}{3} \pi \rho GR$
  • D
    $g=\frac{GM}{\rho R^2}$

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