Young's modulus and energy stored in stretched wire | NEB physics | Knowledge of Physics
Q.1.) What is Young's modulus of elasticity? Derive expression for it. Ans: Young's modulus: If the restoring force developed in a body is normal to its cross-section area, the stress due to such force is called normal stress. Normal stress is produced in a body when there is longitudinal or volumetric strain. Young's modulus of elasticity of a material is defined as the ratio of normal stress and longitudinal(or linear) strain. From fig.1, if F is the external force applied to the body of cross-section area A, and original length `l_0` with change in length(extension or compression) `\Delta l` produced on it, then ...................(1) We have, Normal Stress = `\frac{F}{A}` ........(2) and Longitudinal Strain = `\frac{l_1 - l_0}{l_0} = \frac{\Delta l}{l_0}` ........(3) Using (2) and (3) in (1), `Y = \frac{\frac{F}{A}}{\frac{\Delta l}{l_0}}` = `\frac{F \times l_0}{A \times \Delta l}` `\therefore` Y = `(\frac{...