Question

A copper and a steel wire of same diameter are connected end to end. A deforming force \( F_1 \) is applied to the wire which causes an elongation of 1 cm. The two wires will have

• A. the same stress
• B. different stress
• C. the same strain
• D. different strain

Hint:

Stress depends only on the applied force and the cross-sectional area, while strain depends on the material's Young's modulus.

Answer 1

The Correct Option is D

Stress is defined as the force per unit area, and since the wires have the same diameter, the stress will be the same in both wires. However, strain is defined as the elongation per unit length, and since copper and steel have different Young's moduli, they will have different strains for the same applied force. Therefore, the correct answer is (D).