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JEE Main 202310 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
10 April
Shift
Morning Shift
Subject
Physics
Chapter
Mechanical Properties of Solids

JEE Main 2023 · 10 April · Morning Shift · Physics · Mechanical Properties of Solids

Two wires each of radius 0 . 2cm and negligible mass, one made of...

Two wires each of radius 0.2cm0 . 2cm 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 ______10–6m{10}^{– 6}m. [Young's modulus for steel =2×1011Nm–2= 2 \times {10}^{11}N{m}^{– 2} and g=10ms–2g = 10m{s}^{– 2}]

Two wires each of radius 0 . 2cm and negligible mass, one made of steel and the other made of brass are loaded as shown

Correct answer

0

Step-by-step solution

The force acting on steel wire FF is \left(2 + 1 . 14\right)g = 3 . 14g</p><p>FromtherelationofYoung′smodulus,itcanbewritten</p><p></p><p>From the relation of Young's modulus, it can be written</p><p>\dfrac{F}{A} = Y\left(\dfrac{\DeltaL}{L}\right)</p><p></p><p>⇒ \DeltaL = \left(\dfrac{FL}{AY}\right) = \dfrac{3 . 14 \times g \times 1 . 6}{\pi \times {\left(0 . 2\right)}^{2} \times 2 \times {10}^{11} \times {10}^{- 4}}</p><p></p><p>⇒ ∆ L = 2 \times {10}^{- 5}</p><p></p><p>⇒ ∆ L = 20 \times {10}^{- 6}m

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