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Physics Gravitation JEE Main 2023 MCQ (Single Correct)

The ratio of escape velocity of a planet to the escape velocity of earth will be:-

Given: Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth.

A
4 : 1
B
1 : 4
C
1 :
D
2 : 1

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Text Solution

Verified by Experts
The correct answer is:
D

The formula to calculate the escape velocity is given by

For the Earth, it is given by

and, for the planet, it is given by

Divide equation by equation and simplify to obtain the required ratio.

Substitute the values of the known parameters into equation to obtain the required ratio.

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