JEE Main 2023 — Gravitation Question with Solution
From: JEE Main 2023 (Online) 31st January Morning Shift
Question
At a certain depth "d " below surface of earth, value of acceleration due to gravity becomes four times that of its value at a height above earth surface. Where is Radius of earth (Take ). The depth is equal to
Choose an option
Show full solutionCorrect option: D
Correct answer
D4800 km
Step-by-step explanation
The acceleration due to gravity at a distance below the surface of the earth is given by :
(depth variation)
where is the gravitational constant and is the mass of the Earth.
At a height above the surface of the Earth, the acceleration due to gravity is given by:
Given, , so we can write :
(depth variation)
where is the gravitational constant and is the mass of the Earth.
At a height above the surface of the Earth, the acceleration due to gravity is given by:
Given, , so we can write :
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This is a previous-year question from JEE Main 2023, 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.