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For a particular material, if the modulus of elasticity is two times modulus of rigidity, then the value of Poisson's ratio will be
Question

For a particular material, if the modulus of elasticity is two times modulus of rigidity, then the value of Poisson's ratio will be

A.

1/2

B.

1/4

C.

1/8

D.

None of these

Correct option is D

Relation between E,G,μ:E=2G(1+μ)Substitute E=2G:2G=2G(1+μ)Divide both sides by 2G:1=1+μ μ=0\text{Relation between } E, G, \mu: \\[6pt]E = 2G(1+\mu) \\[12pt]\text{Substitute } E = 2G: \\[6pt]2G = 2G(1+\mu) \\[12pt]\text{Divide both sides by } 2G: \\[6pt]1 = 1 + \mu \\[12pt]\therefore \; \mu = 0​​

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