JEE Main 2024 Physics question
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 × 10¹¹ N m⁻². Original length of the wire is 2 m and the area of cross section is 2 cm². The wire will extend in length by μm.
Answer: 20
Solution
The tension in the wire is 200 N. Δℓ = Fℓ/(AY) = (200 × 2)/(2 × 10⁻⁴ × 10¹¹) = 2 × 10⁻⁵ m = 20 μm.