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Young’s Modulus (Y) of Elasticity.

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Y is defined in terms of longitudinal strain. By definition

Young’s Modulus = Y = normal stress/ longitudinalstrain

Consider a wire of length L, area of cross–section a. A force F is applied to its free end, perpendicular to its area of cross-section. Let ΔL be change (increase) in length of wire. Then

Y is a constant for a meterial. Y does not depend on the dimensions of wire and external applied force. SI Unit of Y is Nm-2 = Pa and its demensions are M-1LT-2 .

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