Question

The Young's modulus of the material of a wire of length $L$ and radius $r$ is $Y$ Newton per $m^2$. If the length of the wire is reduced to $L/2$ and the radius to $r/2$, then its Young's modulus will be.

• A. $Y/2$
• B. $Y$
• C. $2Y$
• D. $4Y$

Answer 1

The correct option is B $Y$

• Young's modulus does not depend upon physical dimensions or force applied, it is the property of the material.
• There will be a change in Stress and Strain when we change the dimensions of the body but Young's Modulus will be constant.
• Hence Option $B$ is the correct answer.