Three planets of same density and with radii $R_1,R_2$ and $R_3$ Such that $R_1=2R_2=3R_3$, have gravitational fields on the surfaces $E_1,E_2,E_3$ and escape velocities $v_1,v_2,v_3$ respectively ,then

Question

$\begin{array}{1 1} \frac{E_1}{E_2} =1 \\ \frac{E_1}{E_3} =3 \\ \frac{v_1}{v_2} =2 \\ \frac{v_1}{v_3} =\frac{1}{3}\end{array} $