RE-NEET2026Physics-Gravitation

RE-NEET 2026 Physics Escape Velocity MCQ Question

Type: MCQ-conceptual-Medium-Class 11

Two planets P₁ and P₂ with equal mass have radii R₁ and R₂, respectively, where R₂ = R12\frac{R₁}{2}. The escape speeds of P₁ and P₂ are v₁ and v₂, respectively. Then v2v1\frac{v₂}{v₁} is:

A

1

B

2\sqrt{2}

C

2

D

12\frac{1}{\sqrt{2}}

Correct Answer

Option B

Detailed Explanation

The escape speed v is given by v=2GMRv = \sqrt{\frac{2GM}{R}}. Since the masses are equal and R₂ = R12\frac{R₁}{2}, the escape speed ratio v2v1=R1R2=2\frac{v₂}{v₁} = \sqrt{\frac{R₁}{R₂}} = \sqrt{2}.

Found an issue with this question?