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Question: For silver, Young's modulus is \(7.25 \times 10 ^ { 10 } \mathrm {~N} / \mathrm { m } ^ { 2 }\) and ...

For silver, Young's modulus is 7.25×1010 N/m27.25 \times 10 ^ { 10 } \mathrm {~N} / \mathrm { m } ^ { 2 } and Bulk modulus is 11×1010 N/m211 \times 10 ^ { 10 } \mathrm {~N} / \mathrm { m } ^ { 2 }. Its Poisson's ratio will be

A

– 1

B

0.5

C

0.39

D

0.25

Answer

0.39

Explanation

Solution

Y=3K(12σ)Y = 3 K ( 1 - 2 \sigma )

σ=3KY6K\sigma = \frac { 3 K - Y } { 6 K }=3×11×10107.25×10106×11×1010\frac { 3 \times 11 \times 10 ^ { 10 } - 7.25 \times 10 ^ { 10 } } { 6 \times 11 \times 10 ^ { 10 } } σ=0.39\Rightarrow \sigma = 0.39