JEE Main 2019PhysicsMechanical Properties of SolidsMediumMCQ

JEE Main 2019 — Mechanical Properties of Solids Question with Solution

JEE Main 2019 (09 Jan Shift 1)

Question

A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion α /°C It is observed that an external compressive force F is applied on each of its ends, prevents any change in the length of the rod when its temperature rises by ∆T K Young's modulus, Y for this metal is:

Choose an option

Show full solutionCorrect option: C
Correct answer
CFAα∆T

Step-by-step explanation

Since the length of the rod does not change, the increment due to increase in temperature will be balanced by the compression due to applied force.

Y=FAΔll  ⇒ Δll=FAY

Also Δll=αΔT

∴  FAY=α ΔT

Y=FAαΔT

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About this question

This is a previous-year question from JEE Main 2019, 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.