JEE Main 2018PhysicsGravitationMediumMCQ

JEE Main 2018 — Gravitation Question with Solution

JEE Main 2018 (15 Apr)

Question

A body of mass m is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius R2 . And the other mass, in a circular orbit of radius 3R2. The difference between the final and the initial total energies is

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Show full solutionCorrect option: C
Correct answer
C-Gm6R

Step-by-step explanation

Ei=-GMm2R,

Ef=-GMm/22R2-GMm/223R2=-GMm2R-GMm6R=-4GMm6R=-2GMm3R

Ef-Ei= GMm2R-23+12= -GMm6R. 

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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.