Medium MCQ +4 / -1 PYQ · JEE Mains 2023

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

A $\sigma=\frac{3 K+2 \eta}{6 K+2 \eta}$
B $\sigma=\frac{3 K-2 \eta}{6 K+2 \eta}$ Correct answer
C $\sigma=\frac{6 K+2 \eta}{3 K-2 \eta}$
D $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$

Solution

Poisson ratio ($\sigma$), bulk modulus (K) and modulus of rigidity ($\eta$) are related by $\because 2\eta(1+\sigma)=3K(1-2\sigma)$ $2\eta+2\eta\sigma=3K-6K\sigma$ $\sigma=\frac{3K-2\eta}{2\eta+6K}$

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Subject: Physics · Chapter: Properties of Solids and Liquids · Topic: Elasticity

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

Solution

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