Question

Young’s modules of material of a wire of length ‘L’ and cross-sectional area A is Y. If the length of the wire is doubled and cross-sectional area is halved then Young’s modules will be :

• A. $\frac{Y}{4}$
• B. $4Y$
• C. $Y$
• D. $2Y$

Answer 1

Answer: (C)

$Y$

Answer 2

Young’s modulus Y is a material property and does not change with the dimensions of the sample. Thus, even if length is doubled and area is halved, Y remains the same.