Q. Energy stored in stretching a string per unit volume is
A) $\frac{1}{2} \times stress\ \times strain\ $
B) $stress\ \times strain$
C) $Y{(strain)}^{2}$
D) $\frac{1}{2}Y\ (stress)^{2}$
Explanation
(a) Total work done in the stretching a string
$= \frac{1}{2} \times stress \times strain \times volume$
Hence, the work done per unit volume is $\frac{1}{2}(stress \times strain).$
This work is stored as the potential energy in the string.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.