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Which one of the following is the correct relation between compressibility β and Bulk Modulus k

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+1 vote
in Fluid Mechanics by (118k points)
Which one of the following is the correct relation between compressibility β and Bulk Modulus k

(a) β = k

(b) β = 1/k

(c) β = 2k

(d) β = k/2

The question was posed to me by my college professor while I was bunking the class.

My question is from Compressibility and Bulk Modulus topic in portion Properties of Fluids of Fluid Mechanics

1 Answer

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Best answer
Correct choice is (b) β = 1/k

Explanation: Compressibility β of a liquid is deβned as the ratio of volumetric strain to the compressive stress while Bulk Modulus is the ratio of compressive stress to volumetric strain. Hence, β = 1/k is the correct relation.

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