JEE Main 2017PhysicsThermal Properties of MatterMediumMCQ

JEE Main 2017 — Thermal Properties of Matter Question with Solution

JEE Main 2017 (08 Apr Online)

Question

A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by ΔT. The net change in its length is zero. Let l be the length of the rod, A its area of cross-section, Y its Young's modulus, and α its coefficient of linear expansion. Then, F is equal to:

Choose an option

Show full solutionCorrect option: B
Correct answer
BA Yα ΔT

Step-by-step explanation

Net change in length =0

Thermal expansion. Δl =lα Δt

Y=FAΔll

Δll=FAY

Δl=FlAY

FlAY=l α Δt

F=AY α Δt

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About this question

This is a previous-year question from JEE Main 2017, 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.