Two wires each of radius $0.2\,cm$ and negligible mass, one made of steel and 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 $g =10\,ms ^{-2}$ ]
JEE MAIN 2023, Diffcult
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Tension in steel wire $\quad T _2=2 g + T _1$
$T _2=20+11.4$
$=31.4\,N$
Elongation in steel wire $\Delta L =\frac{ T _2 L }{ Ay }$
$\Delta L =\frac{31.4 \times 1.6}{\pi\left(0.2 \times 10^{-2}\right)^2 \times 2 \times 10^{11}}$
$\Delta L =\frac{16}{2 \times 4 \times 10^{-5} \times 10^{11}}$
$=2 \times 10^{-5}\,m$
$=20 \times 10^{-6}\,m$
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