JEE Main 2022PhysicsGravitationMediumMCQ

JEE Main 2022 — Gravitation Question with Solution

JEE Main 2022 (28 Jul Shift 1)

Question

If the radius of earth shrinks by 2% while its mass remains same. The acceleration due to gravity on the earth's surface will approximately

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Show full solutionCorrect option: D
Correct answer
Dincrease by 4%

Step-by-step explanation

The acceleration due to gravity on the surface of the earth is given by, g=GMR2.

The radius shrunk by 2%. Therefore, ∆RR×100=-2%.

As the mass is constant and the change in the radius of the earth is relatively small, we can write

∆gg=-2∆RR⇒∆gg×100=4%

Hence, the acceleration due to gravity increases by 4%.

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About this question

This is a previous-year question from JEE Main 2022, covering the Gravitation chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.