Q. If $x$ longitudinal strain is produced in a wire of Young’s modulus $y$, then energy stored in the material of the wire per unit volume is
A) $yx^{2}$
B) $2\ yx^{2}$
C) $\frac{1}{2}y^{2}x$
D) $\frac{1}{2}yx^{2}$
Explanation
(d) Energy stored per unit volume $= \frac{1}{2} \times Stress \times Strain$
$= \frac{1}{2} \times Young^{'}s\ modulus \times (Strain)^{2} = \frac{1}{2} \times Y \times x^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.