Question
Choose the correct relationship between Poisson ratio $(\sigma)$. bulk modulus $( K )$ and modulus of rigidity $(\eta)$ of a given solid object:
✓
Answer
$Y =3 \eta(1+\sigma)$
$Y =3 K (1-\sigma)$
$\Rightarrow 2 \eta(1+\sigma)=3 K (1-2 \sigma)$
$\Rightarrow \sigma=\left(\frac{3 K -2 \eta}{6 K +2 \eta}\right)$
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