Question:
Young's moduli of the material of wires A and B are in the ratio of 1:4, while its area of cross section are in the ratio of 1:3. If the same amount of load is applied to both the wires, the amount of elongation produced in the wires A and B will in the ratio of
[Assume length of wires A and B are same]
Young's moduli of the material of wires A and B are in the ratio of 1:4, while its area of cross section are in the ratio of 1:3. If the same amount of load is applied to both the wires, the amount of elongation produced in the wires A and B will in the ratio of
[Assume length of wires A and B are same]
[Assume length of wires A and B are same]
Updated On: Mar 21, 2025
- 36: 1
- 1:36
- 1:12
- 12:1
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The Correct Option is D
Solution and Explanation
W / A = Y. Δℓ1 / ℓ
W / 3A = 4Y. Δℓ2 / ℓ
Δℓ1 = Wℓ / AY
Δℓ2 = Wℓ / 12AY
Δℓ1 / Δℓ2 = 12 / 1
W / 3A = 4Y. Δℓ2 / ℓ
Δℓ1 = Wℓ / AY
Δℓ2 = Wℓ / 12AY
Δℓ1 / Δℓ2 = 12 / 1
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