1. Tardigrade
  2. Question
  3. Physics
  4. The ratio of Young's modulus of the material of two wires is 2: 3. If the same stress is applied on both, then the ratio of elastic energy per unit volume will be

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The ratio of Young's modulus of the material of two wires is $2: 3$. If the same stress is applied on both, then the ratio of elastic energy per unit volume will be

Mechanical Properties of Solids

Solution:

Energy per unit volume $=\frac{(\text { Stress })^{2}}{2 Y}$
$\frac{E_{1}}{E_{2}}=\frac{Y_{2}}{Y_{1}}$ (Stress is constant )
$\Rightarrow \frac{E_{1}}{E_{2}}=\frac{3}{2}$