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Q.

If the poisson's ratio (μ) of a material is 0.3, ten Y : K: η for the material is [Y=young's modulus of elasticity, K = Bulk modulus of elasticity and  η = modulus of rigidily]

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a

78:65:30

b

32:57:78

c

108:55:31

d

88:65:20

answer is A.

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Detailed Solution

Y=3K(1−2μ)=2η(1+μ)∴ K=Y3(1−2×0.3)=5Y6 and η=Y2(1+0.3)=5Y13∴ Y:K:η=Y:5Y6:5Y13=78:65:30
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