Two persons pull a wire towards themselves. Each person exerts a force of 200 N on the wire. Young’s modulus of the material of the wire is . Original length of the wire is 2 m and the area of cross-section is 2 . The wire will extend in length by _____

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Solution

Q.
Two persons pull a wire towards themselves. Each person exerts a force of 200 N on the wire.

Young’s modulus of the material of the wire is $1 \times 10^{11}$ ${Nm}^{- 2}$ . Original length of the wire is 2 m and the area of cross-section is 2 ${cm}^{2}$ . The wire will extend in length by _____ μm. [2024]

Ans.
(20)

$\frac{F}{A} = Y \frac{Δ ℓ}{ℓ} \Rightarrow Δ ℓ = \frac{F ℓ}{A Y}$

$Δ ℓ = \frac{200 \times 2}{2 \times 10^{- 4} \times 10^{11}} = 2 \times 10^{- 5} = 20 μ m$

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