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JEE · NEET Previous Year Question

$Choose the correct relationship between Poisson ratio (σ), bulk modulus (K) and modulus of rigidity (η) of a given solid object:$

Topic: JEE PYQ

Answer: A. Full step-by-step solution below.

A $σ = \frac{3 K - 2 η}{6 K + 2 η}$
B $σ = \frac{6 K + 2 η}{3 K - 2 η}$
C $σ = \frac{3 K + 2 η}{6 K + 2 η}$
D $σ = \frac{6 K - 2 η}{3 K - 2 η}$

Correct answer: A

Solution

(a) Y = 3 η (1 + σ) Y = 3 K (1 - σ) \Rightarrow 2 η (1 + σ) = 3 K (1 - 2 σ) \Rightarrow σ = (\frac{3 K - 2 η}{6 K + 2 η})

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