Physics Elasticity Question 113

Question: For silver, Young’s modulus is $ 7.25\times 10^{10},N/m^{2} $ and Bulk modulus is $ 11\times 10^{10},N/m^{2} $ . Its Poisson’s ratio will be

Options:

A) ? 1

B) 0.5

C) 0.39

D) 0.25

Show Answer

Answer:

Correct Answer: C

Solution:

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

$ \sigma =\frac{3K-Y}{6K} $ =$ \frac{3\times 11\times 10^{10}-7.25\times 10^{10}}{6\times 11\times 10^{10}} $

$ \Rightarrow \sigma =0.39 $