Two planets P₁ and P₂ with equal mass have radii R₁ and R₂, respectively, where R₂ = R₁/2. The escape speeds of P₁ and P₂ are v₁ and v₂, respectively. Then v₂/v₁ is:

Question

Dr. Abubacker · Accepted Answer

[Solution from source] $v_{esc}=\sqrt{2GM/R}$; with equal masses $v\propto1/\sqrt R$, so $v_2/v_1=\sqrt{R_1/R_2}=\sqrt2$. Answer (4).

Q. Two planets P₁ and P₂ with equal mass have radii R₁ and R₂, respectively, where R₂ = R₁/2. The escape speeds of P₁ and P₂ are v₁ and v₂, respectively. Then v₂/v₁ is:

Explanation

Reviewed by Dr. Abubacker

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