Question

If the Poisson's ratio of a solid is $\frac{2}{5}$, then the ratio of its young's modulus to the rigidity modulus is

• A. $\frac{5}{4}$
• B. $\frac{7}{15}$
• C. $\frac{14}{9}$
• D. $\frac{14}{5}$

Answer 1

The correct option is D $\frac{14}{5}$

By relation
$G=\frac{Y}{2(1+\sigma )}$
$\frac{Y}{G}=2(1+\sigma )$
$=2(1+\frac{2}{5})$
$=\frac{14}{5}$