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Which one of the following is the correct relation between compressibility β and Bulk Modulus 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.
Which one of the following is true about Bulk Modulus of elasticity?
Explanation: Bulk Modulus k is related to the compression of a liquid and the decrease in volume per unit volume. It is the ratio of compressive stress to the volumetric strain.
The value of the Bulk Modulus of elasticity for an incompressible fluid is
Explanation: k = 1/β, where k= Bulk Modulus of elasticity and β= compressibility. For an incompressible fluid, β=0, thus the value of k will tend to infinity.
Three fluids 1, 2 and 3 have Bulk Moduli of k1, k2 and k3 respectively. If k1 > k2 > k3, which liquid will have the highest compressibility?
Explanation: k = 1=β, where k= Bulk Modulus of elasticity and β= compressibility. If k1 > k2 > k3, then β1 < β2 < β3. Thus, liquid 3 will have the highest compressibility.
Explanation:Stainless Steel with Bulk Modulus 163*10^{9} Pa is aprox. 80 times harder to compress than water with Bulk Modulus 2.15*10^{9} Pa.
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