JEE Main 2019PhysicsThermal Properties of MatterMediumMCQ

JEE Main 2019 — Thermal Properties of Matter Question with Solution

JEE Main 2019 (12 Apr Shift 2)

Question

A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y. When this rod is heated by temperature T and simultaneously subjected to a net longutudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to:

Choose an option

Show full solutionCorrect option: D
Correct answer
D3F/(πr2YT)

Step-by-step explanation

Stress =FA
YαT=FA
α=FAYT
γ=3α=3FAYT
γ=3Fπr2YT

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About this question

This is a previous-year question from JEE Main 2019, covering the Thermal Properties of Matter 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.