If the radius of earth reduces by 4% and density remains sam... | PHYSICS - ESCAPE SPEED | SolveeIt | Solveeit

Today, August 19

Question

If the radius of earth reduces by 4% and density remains same then escape velocity will

A

Reduce by 2%

B

Increase by 2%

C

Reduce by 4%

D

Increase by 4%

Answer

Reduce by 4%

Explanation

Solution

Escape velocity $v _ { e } \propto R \sqrt { \rho }$ and if density remains constant $v _ { e } \propto R$

So if the radius reduces by 4% then escape velocity also reduces by 4%.