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Give the relation between shear modulus $(G)$ and Young's modulus $(Y)$ for an isotropic material.

$A$ tension of $20 \,N$ is applied to a copper wire of cross-sectional area $0.01 \,cm^2$. The Young's modulus of copper is $1.1 \times 10^{11} \,N/m^2$ and the Poisson's ratio is $0.32$. The decrease in the cross-sectional area of the wire is:

$A$ uniform wire of length $10 \ m$ and diameter $0.6 \ mm$ is stretched by $6 \ mm$ with a certain force. If the Poisson's ratio of the material of the wire is $0.3$,then the change in diameter of the wire is

The relationship between Young's modulus $Y,$ Bulk modulus $K,$ and modulus of rigidity $\eta$ is:

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If the Young's modulus of a material is $2.4$ times its modulus of rigidity,what is the Poisson's ratio of the material?

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