JEE Main 2024PhysicsGravitationEasyMCQ

JEE Main 2024 — Gravitation Question with Solution

JEE Main 2024 (01 Feb Shift 2)

Question

A light planet is revolving around a massive star in a circular orbit of radius R with a period of revolution T. If the force of attraction between planet and star is proportional to R-3/2 then choose the correct option :

Choose an option

Show full solutionCorrect option: A
Correct answer
AT2∝R5/2

Step-by-step explanation

Let the gravitational force of attraction be F=GMmR3/2.

Now, this gravitational force will provide the required centripetal force. Therefore, 

GMmR3/2=mω2R

⇒ω2∝1R5/2  ∵T=2πω

⇒T2∝R5/2

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About this question

This is a previous-year question from JEE Main 2024, 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.