Q. 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) $\frac{9YK}{Y + 3K}$
C) $Y = \frac{9\eta K}{3 + K}$
D) $Y = \frac{3\eta K}{9\eta + K}$
Explanation
(a) $Y = 3K(1 - 2\sigma)$ and $Y = 2\eta(1 + \sigma)$
Eliminating $\sigma$ we get $Y = \frac{9\eta K}{\eta + 3K}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.