please sir tell which option will be correct and why
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1/2×strain×stress×volume
Strain energy :
The energy stored in a body due to its deformation is called strain energy
Expression for strain energy or work done in stretching a wire :
Let L be the length of the wire and e be the elongation of it.The wire when the force F is applied on it. The force in the wire Increases uniformly in magnitude from zero to F to produce an extension e
The average force on the wire =0+F/2=F/2
Work done W=average force ×extension 1/2Fe
This is stored as the strain energy in the wire. Let A be the cross sectional area of the wire then the energy stored or strain energy in the wire
W=1/2Fe=1/2×F/A×e/L×AL
W=1/2×stress×strain×volume of the wire
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