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If Y, K and η are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respectively. Choose the correct relation for these parameters.

1. Y = 9Kη/(3K - η) N/m²
2. η = 3YK/(9K + Y) N/m²
3. Y = 9Kη/(2η + 3K) N/m²
4. K = Yη/(9η - 3Y) N/m²

Correct answer: K = Yη/(9η - 3Y) N/m²

Solution

This relation correctly expresses the bulk modulus in terms of Young's modulus and the modulus of rigidity, reflecting the interdependence of these elastic constants in material science.

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