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

1. σ = (6K − 2η)/(3K − 2η)
2. σ = (6K + 2η)/(3K − 2η)
3. σ = (3K − 2η)/(6K + 2η)
4. σ = (3K + 2η)/(6K + 2η)

Correct answer: σ = (3K − 2η)/(6K + 2η)

Solution

The correct option expresses the Poisson ratio in terms of the bulk modulus and modulus of rigidity, reflecting the relationship between these mechanical properties of materials, which is essential for understanding how materials deform under stress.

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