JEE Main 2023PhysicsMechanical Properties of SolidsEasyNumerical

JEE Main 2023 — Mechanical Properties of Solids Question with Solution

JEE Main 2023 (10 Apr Shift 1)

Question

Two wires each of radius 0.2 cm and negligible mass, one made of steel and the other made of brass are loaded as shown in the figure. The elongation of the steel wire is ______10–6 m. [Young's modulus for steel =2×1011 N m–2 and g=10 m s–2]

 

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Show full solutionCorrect answer: 20
Correct answer
20

Step-by-step explanation

The force acting on steel wire F is 2+1.14 g=3.14g

From the relation of Young's modulus, it can be written

FA=YΔLL

⇒ΔL=FLAY=3.14×g×1.6π×0.22×2×1011×10-4

⇒∆L=2×10-5

⇒∆L=20×10-6 m

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About this question

This is a previous-year question from JEE Main 2023, 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.