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Q.

Chose the option showing the correct relation between poisson’s ratio $(σ)$ bulk modulus (B) and modulus of rigidity (G)

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a

$σ = \frac{3 B - 2 G}{2 G + 6 B}$

b

$B = \frac{3 σ - 3 G}{6 σ + 2 G}$

c

$σ = \frac{9 B G}{3 B + G}$

d

$σ = \frac{6 B + 2 G}{3 B - 2 G}$

answer is A.

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Detailed Solution

From $σ = \frac{3 K - 2 n}{2 (3 K + n)},$ here K=B, n=G $= \frac{3 B - 2 G}{2 (3 B + G)} = \frac{3 B - 2 G}{6 B + 2 G}$

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