Question

The relationship between Young's modulus $Y$, bulk modulus $K$ and modulus of rigidity $\eta$ is

• A. $\Upsilon=\frac{9\eta\,K}{\eta+3K}$
• B. $\eta=\frac{9\Upsilon\,K}{\Upsilon+3K}$
• C. $\Upsilon=\frac{9\eta\,K}{3\eta+K}$
• D. $\Upsilon=\frac{3\eta\,K}{9\eta+K}$

Answer 1

Answer: (A)

$\Upsilon=\frac{9\eta\,K}{\eta+3K}$

Answer 2

$\frac{9}{\Upsilon}=\frac{3}{\eta}+\frac{1}{K}$ $\frac{9}{\Upsilon}=\frac{3K+\eta}{K \eta} ;$ $\Upsilon =\frac{9K\eta}{3K+\eta}$