What is the ratio of the acceleration due to gravity on two planets with radii $R_1$ and $R_2$ and densities $\rho_1$ and $\rho_2$?

  • A
    $g_1:g_2 = \frac{\rho_1}{R_1^2} : \frac{\rho_2}{R_2^2}$
  • B
    $g_1:g_2 = R_1 R_2 : \rho_1 \rho_2$
  • C
    $g_1:g_2 = R_1 \rho_2 : R_2 \rho_1$
  • D
    $g_1:g_2 = R_1 \rho_1 : R_2 \rho_2$

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