Two wires each of radius 0.2cm 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 $________\times 10^{- 6} m . [Young's modulus for steel$ $= 2 \times 10^{11} {Nm}^{- 2}$
$and g = 10 {ms}^{- 2}]$

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Detailed Solution

$Stretching force F = (2 + 1.14) \times 10 = 31.4 N$

For steel wire,

$\begin{array}{l} Δl = \frac{FL}{AY} = \frac{31.4 \times 1.6}{3.14 \times {(0.2 \times 10^{- 2})}^{2} \times 2 \times 10^{11}} \end{array}$

$Δl = 20 \times 10^{- 6} m$

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