Question

Two planets of the same density and radii (r₁) and (r₂) such that (r₁ = 2r₂) have gravitational fields on the surface (g₁) and (g₂) and escape velocity (v₁) and (v₂) respectively. Then find the value of (v₁/v₂)?
a. 1/2
b. 1/√2
c. 2/√2
d. 1