It is desired to measure the Young's modulus and the Poisson's ratio of a given homogeneous, isotropic material. A bar of length $20 \mathrm{~cm}$ and square cross-section $(10 \mathrm{~mm} \times 10 \mathrm{~mm})$ of this material is subjected to a tensile load of $40 \mathrm{kN}$. Under this load, length increases to $20.1 \mathrm{~cm}$ while the crosssection reduces to $9.98 \mathrm{~mm} \times 9.98 \mathrm{~mm}$. Young's modulus and Poisson's ratio of the material are:

(A) $80 G P a \& 0.4$ respectively

(B) $40 G P a \&-0.4$ respectively

(C) $80 G P a \&-0.2$ respectively

(D) $40 G P a \& 0.2$ respectively

It is desired to measure the Young's modulus and the Poisson's ratio of a given homogeneous, isotropic material. A bar of length $20 \mathrm{~cm}$ and square cross-section $(10 \mathrm{~mm} \times 10 \mathrm{~mm})$ of this material is subjected to a tensile load of $40 \mathrm{kN}$. Under this load, length increases to $20.1 \mathrm{~cm}$ while the crosssection reduces to $9.98 \mathrm{~mm} \times 9.98 \mathrm{~mm}$. Young's modulus and Poisson's ratio of the material are:

(A) $80 G P a \& 0.4$ respectively

(B) $40 G P a \&-0.4$ respectively

(C) $80 G P a \&-0.2$ respectively

(D) $40 G P a \& 0.2$ respectively

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