A load of $1 \mathrm{~kg}$ weight is a attached to one end of a steel wire of area of cross-section $3 \mathrm{~mm}^2$ and Young's modulus $10^{11} \mathrm{~N} / \mathrm{m}^2$. The other end is suspended vertically from a hook on a wall, then the load is pulled horizontally and released. When the…

Question

A load of $1 \mathrm{~kg}$ weight is a attached to one end of a steel wire of area of cross-section $3 \mathrm{~mm}^2$ and Young's modulus $10^{11} \mathrm{~N} / \mathrm{m}^2$. The other end is suspended vertically from a hook on a wall, then the load is pulled horizontally and released. When the load passes through its lowest position the fractional change in length is $\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)$

Aicharya · Accepted Answer

$\begin{aligned} Y & =\frac{m g l}{A \Delta l} \ \Rightarrow \quad \frac{\Delta l}{l} & =\frac{m g}{A Y}\end{aligned}$ $\begin{aligned} 	herefore \quad \frac{\Delta l}{l} & =\frac{1 	imes 10}{3 	imes 10^{-6} 	imes 10^{11}} \ & =0.3 	imes 10^{-4}\end{aligned}$

A load of $1 \mathrm{~kg}$ weight is a attached to one end of a steel wire of area of cross-section $3…

Solution