For a planet having mass equal to mass of the earth but radi... | Physics | SolveeIt | Solveeit

Today, August 18

Question

For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be

A

$11.2 \,km/sec$

B

$22.4\, km/sec$

C

$5.6\, km/sec$

D

$44.8\, km/sec$

Answer

$22.4\, km/sec$

Explanation

Solution

$v_e = \sqrt{2g R } = \sqrt{ \frac{2GM}{ R}}$
if R is 1/4th then $v_e =2 v_{e - earth}$
$= 2 \times 11.2 = 22.4\, km/sec$