The gravitational field on the surface of three planets of the same density are E1, E2, E3 and their escape velocities are v1, v2, v3 respectively. If the ratio of their radii is 1 ∶ 2 ∶ 3, then which of the following relation is true?
1
\(\frac{E_1}{E_3} = \frac{v_1}{v_3} = 3\)
2
\(\frac{E_1}{E_3} = \frac{v_1}{v_2} = 1\)
3
\(\frac{E_1}{E_3} = \frac{v_1}{v_2} = 3\)
4
\(\frac{E_1}{E_3} = \frac{v_1}{v_3} = 1\)
5
Question Not Attempted