JEE Main 2026 — Thermal Properties of Matter Question with Solution
JEE Main 2026 (24 January Shift 1)
Question
A brass wire of length 2 m and radius 1 mm at is held taut between two rigid supports. Initially it was cooled to a temperature of creating a tension in the wire. The temperature to which the wire has to be cooled in order to increase the tension in it to , is .
Choose an option
Show full solutionCorrect option: C
Correct answer
C-71
Step-by-step explanation
Thermal stress in the wire is caused by contraction.
At -43°C, the temperature drop from 27°C is
It creates tension where is Young's modulus and is linear expansion coefficient.
For tension to increase to , the new temperature drop must be: .
Required temperature:
At -43°C, the temperature drop from 27°C is
It creates tension where is Young's modulus and is linear expansion coefficient.
For tension to increase to , the new temperature drop must be: .
Required temperature:
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This is a previous-year question from JEE Main 2026, 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.