Two wires are made of the same material and have the same volume. The first wire has cross-sectional area A and the second wire has cross-sectional area 3 A . If the length of the first wire is increased by ∆ l on applying a force F , how much force is needed to stretch the second wire by the same…

Question

Two wires are made of the same material and have the same volume. The first wire has cross-sectional area A and the second wire has cross-sectional area 3 A . If the length of the first wire is increased by ∆ l on applying a force F , how much force is needed to stretch the second wire by the same amount?

Aicharya · Accepted Answer

Y = F l A ∆ l ∵ V = A l s o l = V A F = Y A ∆ l l = Y A 2 ∆ l V F 1 F 2 = A 1 A 2 2 ⇒ F F 2 = A 3 A 2 = 1 9 F 2 = 9 F 1 = 9 F ~

Two wires are made of the same material and have the same volume. The first wire has cross-sectional area A…

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