STANDARD Physics Young's Modulus MCQ Question
The radii and Young’s moduli of two uniform wires A and B are in the ratio 2 : 1 and 1 : 2 respectively. Both wires are subjected to the same longitudinal force. If the increase in length of the wire A is one percent, the percentage increase in length of the wire B is
1.0
1.5
2.0
3.0
Correct Answer
Detailed Explanation
Young's modulus, Y = FL/πr²ΔL or ΔL/L = F/πr²Y. For the same force, the ratio of the change in length is determined by the ratio of radii and Young's moduli. The calculation shows that the percentage increase in length of wire B is 2%.
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