Two wires each of radius 0.2 cm and negligible mass, one made of… | JEE Main 2023 (10 Apr, Shift 1)

Q10JEE Main 2023 · 10 APR · SHIFT 1Medium

Wire Combinations & Special Cases

Two wires each of radius 0.2 cm and negligible mass, one made of steel and the other made of brass are loaded as shown in the figure. The elongation of the steel wire is __________ $\times$ 10 ${}^{-6}$ m. [Young's modulus for steel = 2 $\times$ 10 ${}^{11}$ Nm ${}^{-2}$ and g = 10 ms ${}^{-2}$ ]

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 20

Steel wire holds both blocks: $T = (2 + 1.14) \times 10 = 31.4\text{ N}$
$A = \pi (0.2 \times 10^{-2})^2 = 1.256 \times 10^{-5}\text{ m}^2$
$\Delta l = \frac{TL}{AY} = \frac{31.4 \times 1.6}{1.256 \times 10^{-5} \times 2 \times 10^{11}} = 2 \times 10^{-5}\text{ m}$
Elongation $= 20 \times 10^{-6}\text{ m}$

Report a mistake

More questions on Wire Combinations & Special Cases

The length of a wire becomes l₁ and l₂ when 100 N and 120 N tensions are applied…JEE Main 2023 (11 Apr, Shift 1)
As shown in the figure, in an experiment to determine Young's modulus of a wire, the…JEE Main 2023 (25 Jan, Shift 1)
A steel wire of length 3.2 m (Ys = 2.0 × 10¹¹ N m⁻²) and a copper wire of length 4.4 m…JEE Main 2022 (27 Jul, Shift 2)
A uniform heavy rod of mass 20 kg, cross sectional area 0.4 m² and length 20 m is hanging…JEE Main 2022 (26 Jul, Shift 2)
A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when…JEE Main 2022 (29 Jun, Shift 1)
In an experiment to determine the Young's modulus, steel wires of five different lengths…JEE Main 2022 (27 Jul, Shift 2)
In an experiment to determine the Young's modulus of wire of a length exactly 1 m, the…JEE Main 2022 (26 Jul, Shift 1)
Two wires of same length and radius are joined end to end and loaded. The Young's moduli…JEE Main 2021 (25 Jul, Shift 1)

Wire Combinations & Special Cases question from JEE Main 2023 (10 Apr, Shift 1)

More questions on Wire Combinations & Special Cases