JEE Main 2014 — Gravitation Question with Solution
JEE Main 2014 (11 Apr Online)
Question
From a sphere of mass and radius , a smaller sphere of radius is carved out such that the cavity made in the original sphere is between its centre and the periphery (See figure). For the configuration in the figure where the distance between the centre of the original sphere and the removed sphere is 3R, the gravitational force between the two sphere is:
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Volume of removed sphere
Volume of the sphere (remaining)
Therefore mass of sphere carved and remaining sphere are at respectively and
Therefore, gravitational force between these two sphere,
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This is a previous-year question from JEE Main 2014, 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.