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RE-NEET2024Physics-Gravitation

RE-NEET 2024 Physics Escape Velocity MCQ Question

Type: MCQ-numerical-Medium-Class 11

The escape velocity for earth is $v$ . A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:

A

$\frac{v}{3}$

B

$\frac{2v}{3}$

C

$\frac{3v}{4}$

D

$\frac{9v}{4}$

Correct Answer

Option C

Detailed Explanation

Escape velocity $v_e$ is given by $v_e = \sqrt{\frac{2GM}{R}}$ . For the new planet, $v_e = \sqrt{\frac{2G(9M)}{16R}} = \frac{3v}{4}$ .

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