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Two wires A and B of same material have lengths in ratio of 4:3 and radii in ratio of 1:2.

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Two wires A and B of same material have lengths in ratio of 4:3 and radii in ratio of 1:2. The two are subjected to same external force F. What is ratio of (i) Young’s modulus (ii) stress (iii) strain and (iv) change in length of wires A and B?

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(i) Since the material of wires A and B is same

YA/YB = 1

(iv) Let (ΔL)A and(ΔL)B be the change in length of wires A and B respectively. Then

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