Escape velocity on a planet is v_e . If radius of the planet rema… - Vidyadip

MCQ

Escape velocity on a planet is ${v_e}$. If radius of the planet remains same and mass becomes 4 times, the escape velocity becomes

A
$4\,{v_e}$
✓
$2\,{v_e}$
C
${v_e}$
D
$\frac{1}{2}{v_e}$

✓

Answer

Correct option: B.

$2\,{v_e}$

b
(b) ${v_e} = \sqrt {\frac{{2GM}}{R}} $ $⇒$ ${v_e} \propto \sqrt M $ if $R = {\rm{constant}}$

If the mass of the planet becomes four times then escape velocity will become $2$ times.

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