JEE Main 2020PhysicsMechanical Properties of SolidsMediumMCQ

JEE Main 2020 — Mechanical Properties of Solids Question with Solution

JEE Main 2020 (07 Jan Shift 1)

Question

Speed of a transverse wave on a straight wire (mass 6.0 g, length 60 cm and area of cross-section 1.0 mm2  is 90 m s-1. If the Young's modulus of wire is 16×1011 N m-2, the extension of wire over its natural length is:

Choose an option

Show full solutionCorrect option: A
Correct answer
A0.03 mm

Step-by-step explanation

v=Tμ
⇒T=μv2
⇒μv2A=Y∆ll
⇒∆l=μv2lAY
After substituting value of μ,v,l,A and Y we get
∆l=0.3mm

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About this question

This is a previous-year question from JEE Main 2020, 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.