If the length of a wire is doubled while keeping the cross-sectional area consta
Practice Questions
Q1
If the length of a wire is doubled while keeping the cross-sectional area constant, how does its Young's modulus change?
It doubles
It halves
It remains the same
It quadruples
Questions & Step-by-Step Solutions
If the length of a wire is doubled while keeping the cross-sectional area constant, how does its Young's modulus change?
Correct Answer: Young's modulus remains the same.
Step 1: Understand what Young's modulus is. It is a measure of how much a material will stretch or compress under stress.
Step 2: Recognize that Young's modulus is a property of the material itself, not of its shape or size.
Step 3: Note that when the length of the wire is doubled, the material is still the same, and its properties do not change.
Step 4: Conclude that even though the wire's length changes, Young's modulus remains constant because it is intrinsic to the material.
Young's Modulus – Young's modulus is a measure of the stiffness of a material and is defined as the ratio of stress (force per unit area) to strain (deformation per unit length). It is an intrinsic property of the material, meaning it does not change with the dimensions of the object.
