The Young?s modulus of elasticity of a material is 2.5 times its modulus of rigidity. The Poisson?s ratio for the material will be
A)0.25
B)0.33
C)0.50
D)0.75

Question

Quizplus · Accepted Answer

The relationship between Young's modulus (E), modulus of rigidity (G), and Poisson's ratio (ν) is given by the formula $E = 2G(1 + \nu)$. Given that $E = 2.5G$, substituting this into the formula gives $2.5G = 2G(1 + \nu)$. Solving for $\nu$ yields $\nu = 0.25$.

The Young?s Modulus of Elasticity of a Material Is 2