AP EAMCET · PHYSICS · Mechanical Properties of Solids
When a wire made of material with Young's modulus Y is subjected to a stress S, the elastic potential energy per unit volume stored in the wire is
- A \(\frac{Y S}{2}\)
- B \(\frac{S^2 Y}{2}\)
- C \(\frac{\mathrm{S}^2}{2 \mathrm{Y}}\)
- D \(\frac{S}{2 Y}\)
Answer & Solution
Correct Answer
(C) \(\frac{\mathrm{S}^2}{2 \mathrm{Y}}\)
Step-by-step Solution
Detailed explanation
\( U = \frac{1}{2} \text{Stress} \times \text{Strain} \) \( \text{Strain} = \frac{\text{Stress}}{Y} \) \( U = \frac{1}{2} S \left(\frac{S}{Y}\right) = \frac{S^2}{2Y} \)
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