Question

A metallic rod of length 'L' and cross-section 'A' has Young's modulus 'Y' and coefficient of linear expansion $'\alpha'$ If the rod is heated to a temperature'T' the energy stored per unit volume is:

• A. $\frac{1}{2}Y\alpha\,T$
• B. $\frac{1}{2}A\alpha\,T$
• C. $\frac{1}{2}Y\,A\alpha\,T$
• D. $\frac{1}{2}Y\,A^2\alpha^2\,T^2$

Answer 1

Answer: (A)

$\frac{1}{2}Y\alpha\,T$

Answer 2

Answer (a) $\frac{1}{2}Y\alpha\,T$