Which of the following is the correct relatio | vedclass

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(B) Young's modulus $(Y)$ represents the stiffness of a material,which is a measure of the stress required to produce a unit strain. Its value is typi

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$Y > \sigma$

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(B) Young's modulus $(Y)$ represents the stiffness of a material,which is a measure of the stress required to produce a unit strain. Its value is typically in the order of $10^9$ to $10^{11} 	ext{ Pa}$ for metals.Poisson's ratio $(\sigma)$ is a dimensionless quantity representing the ratio of lateral strain to longitudinal strain. For most stable,isotropic materials,the value of Poisson's ratio lies between $-1.0$ and $0.5$.Since $Y$ is a physical quantity with units of pressure (Pascal) and $\sigma$ is a dimensionless ratio,comparing their magnitudes directly depends on the units used. However,in standard physical contexts where $Y$ is expressed in Pascals,$Y$ is numerically much larger than $\sigma$. Thus,$Y > \sigma$ is the correct relation.

Which of the following is the correct relation between Young's modulus $(Y)$ and Poisson's ratio $(\sigma)$?

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