The relation between the gravitational field on the surface of two planets A and B of masses mA, mB and …..

Q: The relation between the gravitational field on the surface of two planets A and B of masses m_A, m_B and radii R_A and R_B, respectively, if they have equal (uniform density).

(a) $ \displaystyle \frac{E_A}{E_B} = \frac{R_A}{R_B}$

(b) E_AR_B² = E_BR_A²

(c) $ \displaystyle \frac{E_A}{E_B} = \frac{R_B}{R_A}$

(d) E_A²R_A = E_B²R_B

Ans: (a)