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JEE Main 202229 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
29 July
Shift
Morning Shift
Subject
Physics
Chapter
Mechanical Properties of Solids

JEE Main 2022 · 29 July · Morning Shift · Physics · Mechanical Properties of Solids

If the length of a wire is made double and radius is halved of its...

If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the material of the wire will :

Options

  1. ARemain same
  2. BBecome 88 times its initial value
  3. CBecome 1th4\dfrac{{1}^{th}}{4} of its initial value
  4. DBecome 44 times its initial value

Correct answer

A. Remain same

Step-by-step solution

Young's modulus is the ratio of stress to strain.

Young's modulus is a property of a material, and it does not depend on the geometry i.e. length and the radius of the wire. Therefore, the Young's modulus of the wire will remain same.

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