Physics Elasticity Question 86
Question: The relationship between Young’s modulus Y, Bulk modulus K and modulus of rigidity $ \eta $ is
[MP PET 1991; MP PMT 1997]
Options:
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} $
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Answer:
Correct Answer: A
Solution:
$ Y=3K(1-2\sigma )\text{ and}\ Y=2\eta (1+\sigma ) $ Eliminating $ \sigma $ we get $ Y=\frac{9\eta K}{\eta +3K} $