JEE Main 2021PhysicsMechanical Properties of SolidsMediumMCQ

JEE Main 2021 — Mechanical Properties of Solids Question with Solution

JEE Main 2021 (20 Jul Shift 1)

Question

The value of tension in a long thin metal wire has been changed from T1 to T2. The lengths of the metal wire at two different values of tension T1 and T2 are ℓ1 and ℓ2, respectively. The actual length of the metal wire is:

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Show full solutionCorrect option: A
Correct answer
AT1ℓ2-T2ℓ1 T1-T2

Step-by-step explanation

Y=FLAΔL
⇒Y=T1ℓ0 Aℓ1-ℓ0=T2ℓ0 Aℓ2-ℓ0
1=T1ℓ2-ℓ0T2ℓ1-ℓ0
T2ℓ1-T2ℓ0=T1ℓ2-T1ℓ0
T1-T2ℓ0=T1ℓ2-T2ℓ1
ℓ0=T1ℓ2-T2ℓ1 T1-T2

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About this question

This is a previous-year question from JEE Main 2021, 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.