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If Poission's ratio sigma is -(1)/(2) fo...

If Poission's ratio `sigma` is `-(1)/(2)` for a material, then the material is

A

elastic fatigue

B

incompressible

C

compressible

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
(b) We know that compressibility,
`C=(1)/(K)`
Also, `(dV)/(V)=(1+2sigma)(dL)/(L)`
Given, `sigma=-(1)/(2)`
then `(dV)/(V)=0` i.e. , volume is constant
or `K=oo` i.e., the material is incompressible.
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