Question:
Two wires of same material and same volume have cross-sectional areas A and 2A. If the first wire is elongated by Δ x under force F, the force required to stretch the second wire by the same amount is:
Two wires of same material and same volume have cross-sectional areas A and 2A. If the first wire is elongated by Δ x under force F, the force required to stretch the second wire by the same amount is:
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For same volume, force ∝ (area)².
Updated On: Mar 18, 2026
- 4F
- 6F
- 9F
- F
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The Correct Option is C
Solution and Explanation
Step 1: Extension formula.
Δ L = (FL)/(YA)
Step 2: Volume constant.
AL = constant L (1)/(A)
Step 3: Force relation.
F A² F₂ = 9F
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