Question

For a given material Young's modulus is $2.4$ times that of its rigidity modulus. Its Poisson's ratio is

• A. $2.4$
• B. $1.2$
• C. $0.4$
• D. $0.2$

Answer 1

The correct option is D $0.2$

Relation between Young's modulus, Poisson's ratio and rigidity modulus is given below :
$G=\frac{Y}{2(1+\sigma )}$
where, G is rigidity modulus
Y is young's modulus
$\sigma$ is poisson ratio
According to Problem Statement ;
$G=\frac{2.4G}{2(1+\sigma )}$
$\sigma =0.2$