Question

Find the value of poission's ratio $\left(\mu \right)$ of a material whose bulk modulus$\left(K\right)$ value is half of its young's modulus $\left(Y\right)$ value.

• A. $\frac{1}{3}$
• B. $\frac{1}{6}$
• C. $\frac{1}{4}$
• D. $\frac{1}{2}$

Answer 1

The correct option is B $\frac{1}{6}$

We know, $Y=3K(1-2\mu )$...... (1)
Given, $K=\frac{Y}{2}$
Putting in the equation (1), we get
$Y=\frac{3Y}{2}(1-2\mu )$
$\Rightarrow (1-2\mu )=\frac{2}{3}$
$\Rightarrow \mu =\frac{1}{6}$