First slide

Elastic behaviour of solids

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

Moderate

A

– 1
B

0.5
C

0.39
D

0.25

Solution

$\begin{array}{l} Y = 3 K (1 - 2 σ) \\ σ = \frac{3 K - Y}{6 K} = \frac{3 \times 11 \times 10^{10} - 7 .25 \times 10^{10}}{6 \times 11 \times 10^{10}} \Rightarrow σ = 0 .39 \end{array}$

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