Question

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

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

Answer 1

Answer: (A)

$Y = \frac { 9 \eta K } { \eta + 3 K }$

Answer 2

$Y = 3 K ( 1 - 2 \sigma )$ and $Y = 2 \eta ( 1 + \sigma )$

Eliminating $\sigma$ we get