Which of the following is true for elastic potential energy density?

  • A
    Energy density $= \frac{1}{2} \times \text{strain} \times \text{stress}$
  • B
    Energy density $= (\text{strain})^2 \times \text{volume}$
  • C
    Energy density $= (\text{strain}) \times \text{volume}$
  • D
    Energy density $= (\text{strain}) \times \text{stress}$

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What is the work done in stretching a uniform metal wire of length $2 \ m$ to $2.004 \ m$ with an area of cross-section $10^{-6} \ m^2$ (in $J$)? [Young's modulus of the wire = $2 \times 10^{11} \ N/m^2$]

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