The escape velocity of a body on the surface of the earth is 11.2… - Vidyadip

MCQ

The escape velocity of a body on the surface of the earth is $11.2 \,km/s$. If the earth's mass increases to twice its present value and the radius of the earth becomes half, the escape velocity would become ......... $km/s$

A
$5.6$
B
$11.2$
✓
$22.4$
D
$44.8$

✓

Answer

Correct option: C.

$22.4$

c
(c) ${v_e} = \sqrt {\frac{{2GM}}{R}} $

${v_e} \propto \sqrt {\frac{M}{R}} $

If $M$ becomes double and $R$ becomes half then escape velocity becomes two times.

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