Question $7$

$10$ points

A test specimen with a circular cross section has an initial gage length of $500mm$ and an initial diameter of $60mm.$ The specimen is placed in a tensile test apparatus. When the instantaneous tensile force in the specimen is $30kN,$ the specimen has a longitudinal elongation of $0\mathrm{.}16mm$ and a lateral decrease in diameter of $0\mathrm{.}01505mm.$ What is the most nearly the modulus of elasticity?

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$4$GPa

$33$GPa

$42$GPa

$352$GPa