MCQ
The relationship between Young's modulus $Y,$ Bulk modulus $K$ and modulus of rigidity $\eta $ is
- ✓$Y = \frac{{9\eta K}}{{\eta + 3K}}$
- B$\eta = \frac{{9YK}}{{Y + 3K}}$
- C$Y = \frac{{9\eta K}}{{3 + K}}$
- D$Y = \frac{{3\eta K}}{{9\eta + K}}$
✓
Answer
Correct option: A.
$Y = \frac{{9\eta K}}{{\eta + 3K}}$
a
(a)$Y = 3K(1 - 2\sigma ){\rm{ and}}\;Y = 2\eta (1 + \sigma )$
(a)$Y = 3K(1 - 2\sigma ){\rm{ and}}\;Y = 2\eta (1 + \sigma )$
Eliminating $\sigma $ we get $Y = \frac{{9\eta K}}{{\eta + 3K}}$
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