Q. X linear strain is produced in a wire of elasticity coefficient Y. The stored potential energy in unit volume of this wire is
A) $Yx^{2}$
B) $2Yx^{2}$
C) $\frac{1}{2}Y^{2}x$
D) $\frac{1}{2}Yx^{2}$
Explanation
(d) Elastic potential energy per unit volume
= $\frac{1}{2}$ stress $\times$ strain = $\frac{1}{2}(Y\ \times$strain) $\times$strain = $\frac{1}{2}Yx^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.