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Q.

If Y, K, $η$ and $σ$ are the values of Young’s modulus, bulk modulus and modulus of rigidity and Poisson’s ratio of any material respectively. Choose the INCORRECT relation for these parameters

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a

$K = \frac{2 η (1 + σ)}{3 (1 - 2 σ)}$

b

$K = \frac{Y η}{9 η - 3 Y}$

c

$σ = \frac{3 K - 2 η}{6 K + 2 η}$

d

$η = \frac{3 Y K}{9 K + Y}$

answer is C.

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Detailed Solution

The relation between $Y, η, σ$ is given by

$Y = 3 K (1 - 2 σ) Y = 2 η (1 + σ)$

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