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For silver, Young's modulus is 7.25 xx 1...

For silver, Young's modulus is `7.25 xx 10^(10) N//m^(2)` and Bulk modulus is `11 xx 10^(10) N//m^(2)`. What is its Poisson's ratio ?

A

`0.5`

B

`-1`

C

`0.25`

D

`0.39`

Text Solution

Verified by Experts

The correct Answer is:
D
The relation between Y, K and `sigma` is given by
`Y = 3K (1- 2 sigma) = 3K - 6K sigma`
`: sigma = (3K - Y)/(6 K) = (3 xx 11 xx 10^(10) - 7.25 xx 10^(10))/(6 xx 11 xx 10^(10))`
`:. sigma = (33 - 7.25)/(66) = (25.75)/(66) = 0.39`
(Poisson's ratio has no units.)
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