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 wire is $1 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}$. Original length of the wire is 2 m and the area of cross section is $2 \mathrm{~cm}^{2}$. The wire will extend in length by ____ $\mu \mathrm{m}$.

JEE Main · 2024 · 09 Apr 2024 · Shift 1 · Elasticity & SHM

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 wire is

1 \times 1 0^{11} N m^{- 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 ____

μ m

Answer: 20

Tension in the wire is 200 N (each person pulls 200 N).

Δ ℓ = \frac{F ℓ}{A Y} = \frac{200 \times 2}{2 \times 1 0 ^{- 4} \times 1 0 ^{11}} = 2 \times 1 0^{- 5}

= 20 μ

JEE Main · 2024 · 09 Apr 2024 · Shift 1 · Integer answer