1. Tardigrade
  2. Question
  3. Physics
  4. Energy stored per unit volume in a stretched wire having Young's modulus Y and stress ' S ' is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Energy stored per unit volume in a stretched wire having Young's modulus $Y$ and stress ' $S$ ' is

Mechanical Properties of Solids

Solution:

$\Delta U =\frac{1}{2} \times $ stress $ \times $ strain
$=\frac{1}{2} \times \text { stress } \times \frac{\text { stress }}{Y} \,$
$\{\because \text { Stress }=Y \text {. strain }\} $
$=\frac{1}{2} \times \frac{S^{2}}{Y} $