Which statement is true for a metal?

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(C) The relationship between Young's modulus $(Y)$,modulus of rigidity $(\eta)$,and Poisson's ratio $(\sigma)$ is given by the formula: $Y = 2\eta(1 +

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$Y > \eta$

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(C) The relationship between Young's modulus $(Y)$,modulus of rigidity $(\eta)$,and Poisson's ratio $(\sigma)$ is given by the formula: $Y = 2\eta(1 + \sigma)$.For any metal,the Poisson's ratio $(\sigma)$ lies between $0$ and $0.5$ (typically around $0.3$).Since $(1 + \sigma) > 1$,it follows that $Y = 2\eta(1 + \sigma) > 2\eta$.Therefore,$Y > \eta$ is always true for metals.

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