Question

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

• A. $y=\frac{9\eta k}{\eta +3K}$
• B. $y=\frac{9YK}{Y+3K}$
• C. $y=\frac{9\eta k}{3+K}$
• D. $y=\frac{3\eta k}{9\eta +K}$

Answer 1

The correct option is A $y=\frac{9\eta k}{\eta +3K}$

Solution: a): $Y=3K(1-2\sigma )$and $y=2\eta (1+\sigma )$

Eliminating $\sigma$ We get $y=\frac{9\eta k}{\eta +3K}$