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 1

Correct option (c) Reduce by 4%

Explanation

Escape velocity v_e ∝ R√ρ and if density remains constant v_e ∝ R

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