Mechanical Properties of Solids - Result Question 10

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11. When an elastic material with Young’s modulus $Y$ is subjected to stretching stress $S$, elastic energy stored per unit volume of the material is

======= ####11. When an elastic material with Young’s modulus $Y$ is subjected to stretching stress $S$, elastic energy stored per unit volume of the material is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/mechanical-properties-of-solids/mechanical-properties-of-solids—result-question-10.md (a) $YS / 2$

(b) $S^{2} Y / 2$

(c) $S^{2} / 2 Y$

(d) $S / 2 Y$

[1989]

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Solution:

  1. (c) Energy stored per unit volume

$=\frac{1}{2} \times$ stress $\times$ strain

$=\frac{1}{2} \times$ stress $\times($ stress $/$ Young’s modulus $)$

$=\frac{1}{2} \times(\text{ stress })^{2} /($ Young’s modulus $)=\frac{S^{2}}{2 Y}$