Vardaan Learning Institute

Draw and explain the Stress-Strain graph for a metallic wire, marking proportional limit, yield point, ultimate strength, and fracture point.

A steel wire of length $2\text{ m}$ and cross-sectional area $2\text{ mm}^2$ is stretched by a force of $100\text{ N}$. Find stress, strain, and elongation ($Y = 2 \times 10^{11}\text{ N/m}^2$).

Derive the expression for elastic potential energy density stored in a stretched wire ($u = \frac{1}{2} \times \text{stress} \times \text{strain}$).

Define Bulk Modulus $B$ and Compressibility $K$. Calculate fractional change in volume of a sphere when subjected to a hydraulic pressure of $10^7\text{ Pa}$ ($B = 1.4 \times 10^{11}\text{ Pa}$).