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} $