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8. mechanical properties of solids — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics8. mechanical properties of solids1 Mark
MCQ
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 $g =10\,ms ^{-2}$ ]
  • A
    $10$
  • B
    $5$
  • C
    $4$
  • ✓
    $20$
✓

Answer

Correct option: D.
$20$
d
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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