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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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An Intiative by Sri Chaitanya

78:65:30

32:57:78

108:55:31

88:65:20

answer is A.

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Detailed Solution

$\begin{array}{l} Y = 3 K (1 - 2 μ) = 2 η (1 + μ) \\ ∴ K = \frac{Y}{3 (1 - 2 \times 0.3)} = \frac{5 Y}{6} and η = \frac{Y}{2 (1 + 0.3)} = \frac{5 Y}{13} \\ ∴ Y : K : η = Y : \frac{5 Y}{6} : \frac{5 Y}{13} = 78 : 65 : 30 \end{array}$

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