If in a wire of Young’s modulus Y, longitudinal strain X is produced, then the value of potential energy stored in its unit volume will be
Potential energy is the energy stored in an object due to its position or configuration. It depends on factors like height in gravitational fields or the arrangement of charged particles in electric fields. Examples include a lifted object possessing gravitational potential energy and a stretched spring storing elastic potential energy.
Class 11 Physics Chapter 8 explains the mechanical properties of solids. It covers stress strain Hooke’s law Young’s modulus bulk modulus shear modulus and elastic and plastic deformation. The chapter focuses on how solids behave under external forces and explores stretching compressing bending and factors affecting their mechanical properties.
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Formula:
The potential energy per unit volume of a taut wire may be given as follows:
Energy per unit volume = ½ × Stress × Strain
For a wire:
Tension = Stress
Stress = Y × Strain
Substituting Stress to above equation:
Potential Energy per unit volume = 1/2 x (Yx X) × X= 0.5Yx²
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