JEE Main 2023PhysicsGravitationAcceleration Due To Gravity And Its VariationmediumMCQ

JEE Main 2023 — Gravitation Question with Solution

From: JEE Main 2023 (Online) 25th January Morning Shift

Question

Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout the earth. It is found that when a particle is released in this tunnel, it executes a simple harmonic motion. The mass of the particle is 100 g. The time period of the motion of the particle will be (approximately)

(Take g = 10 m s , radius of earth = 6400 km)

Choose an option

Show full solutionCorrect option: B
Correct answer
B1 hour 24 minutes

Step-by-step explanation

Gravitational acceleration at a distance of from centre of earth is given by



Where is the radius of earth

So,







= 1 hour 24 minutes (approx.)

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About this question

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.