JEE Main 2018PhysicsMechanical Properties of SolidsMediumMCQ

JEE Main 2018 — Mechanical Properties of Solids Question with Solution

JEE Main 2018 (08 Apr)

Question

A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid, covering entire cross-section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere drr , is:

Choose an option

Show full solutionCorrect option: D
Correct answer
Dmg3Ka

Step-by-step explanation

For sphere,∨=43πr3⇒∆∨∨=3∆rr⇒P=KΔVV
⇒P=3KΔRR⇒mg3Ka=ΔRR.

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About this question

This is a previous-year question from JEE Main 2018, covering the Mechanical Properties of Solids 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.