Question

Young’s modulus of a material is \( Y \). If the length of a wire is doubled and the cross-sectional area is halved, then Young’s modulus will be:

• A. \( Y/4 \)
• B. \( 4Y \)
• C. \( Y \)
• D. \( 2Y \)

Hint:

Young’s modulus remains unchanged when only geometric factors like length and area are modified.

Answer 1

The Correct Option is C

Step 1: {Young's modulus dependency}
\[ Y = \frac{{Stress}}{{Strain}} \] Step 2: {Effect of change in length and area}
Young's modulus is an intrinsic material property, unaffected by variations in length or cross-sectional area. Consequently, the correct designation is \( Y \).