JEE Main 2018PhysicsGravitationMediumMCQ

JEE Main 2018 — Gravitation Question with Solution

JEE Main 2018 (08 Apr)

Question

A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the nth power of R. If the period of rotation of the particle is T, then:

Choose an option

Show full solutionCorrect option: D
Correct answer
DT∝Rn+12

Step-by-step explanation

F=KRn⇒mV2r=KRn⇒V2∝KRn-1
⇒V∝1Rn-12⇒T=2πRV∝RV
⇒T∝R1Rn-12⇒T∝Rn+12

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About this question

This is a previous-year question from JEE Main 2018, 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.