Three planets of same density have radii R1, R2 and R3 such that R1 = 2R2 = 3R3. The gravitational field at their respective surface are g1, g2 and g3 and escape velocities from their surfaces are v1, v2 and v3, then which of the following is NOT true ?

\(\frac{g_1}{g_2} = 2\) \(\frac{v_1}{v_2} = \frac{1}{4}\) \(\frac{g_1}{g_3} = 3\) \(\frac{v_1}{v_3} = 3\)

\(\frac{g_1}{g_3} = 3\)