JEE Main 2023PhysicsMechanical Properties of SolidsHardMCQ

JEE Main 2023 — Mechanical Properties of Solids Question with Solution

JEE Main 2023 (30 Jan Shift 1)

Question

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

Choose an option

Show full solutionCorrect option: A
Correct answer
Aσ=3K-2η6K+2η

Step-by-step explanation

The relations of Young's modulus, Y, bulk modulus, K, the modulus of rigidity, η and Poisson's ratio, σ are given as

Y=3K(1-2σ) …1 and 

Y=2η1+σ …2

From equation 1 and 2, we have

⇒2η1+σ=3K1-2σ

⇒σ=3K-2η6K+2η

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About this question

This is a previous-year question from JEE Main 2023, covering the Mechanical Properties of Solids chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.