The elastic potential energy of a strained body is:

Correct option is B

​$$U = \frac{1}{2}$$×stress× strain× volume​​

• This formula is derived from the work done in stretching a material within its elastic limit, where Hooke’s Law applies. The work done per unit volume is:
• Elastic potential energy per unit volume=12×stress×strain\text{Elastic potential energy per unit volume} = \frac{1}{2} \times \text{stress} \times \text{strain}Elastic potential energy per unit $$volume= \frac{1}{2}​ ×stress×strain$$
• Multiplying by the total volume gives the total elastic potential energy.

• Elastic potential energy is the energy stored in a body when it is deformed under an external force but can return to its original shape after the force is removed.
• Hooke's Law states that within the elastic limit, stress is directly proportional to $$Stress=Young’s Modulus×Strain\text{Stress}$$​​
• The unit of elastic potential energy is joule (J) in SI units.