Two spherical planets P1 and P2 have the same uniform density ρ , masses m1 and m2 and surface areas A and 4A respectively . A spherical planet P3 also has uniform density ρ and its mass is (M1 + M2). The escape velocity form the planets P1 , P2 and P3 are v1 , v2 and v3 respectively. Then

Q: Two spherical planets P₁ and P₂ have the same uniform density ρ , masses m₁ and m₂ and surface areas A and 4A respectively . A spherical planet P3 also has uniform density ρ and its mass is (M₁ + M₂). The escape velocity form the planets P₁ , P₂ and P₃ are v₁ , v₂ and v₃ respectively. Then

(a) v₂ > v₃ > v₁

(b) v₃ > v₂ > v₁

(c) v₃/v₁ = 3

(d) v₁/v₂ = 1/2