Definition : Young ‘s modulus is the ratio of longitudinal stress to longitudinal strain. It is denoted by Y.
Unit : N/m2 or Pa in SI system.
Dimensions : [L-1M1T-2]
Experimental description to find Young’s modulus :
i. Consider a metal wire suspended from a rigid support. A load is attached to the free end of the wire. Due to this, deforming force gets applied to the free end of wire in downward direction and it produces a change in length.
Let,
L = original length of wire,
Mg = weight suspended to wire,
l = extension or elongation,
(L + l) = new length of wire.
r = radius of the cross section of wire
ii. In its equilibrium position,