Q90 / 90 · JEE Main 2023 (10 Apr Shift 1) · Physics

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 ______10–6 m. [Young's modulus for steel =2×1011 N m–2 and g=10 m s–2]

Figure

 

Correct answer: 20

Solution

The force acting on steel wire F is 2+1.14 g=3.14g

From the relation of Young's modulus, it can be written

FA=YΔLL

⇒ΔL=FLAY=3.14×g×1.6π×0.22×2×1011×10-4

⇒∆L=2×10-5

⇒∆L=20×10-6 m

Hence, the correct answer is 20.

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