The bulk modulus of a fluid if it undergoes a 1% change in volume when subjected to a pressure change of 10,000 psi is (a) 0.01 psi (b) 0.001 psi (c) 0.1 psi (d) 0.1 psi (e) none of these

The required bulk modulus is Psi. So, the answer is non of these.

Explanation:

Change in pressure of the fluid is directly proportional to the volumetric strain. The constant of proportionality is the bulk modulus of the fluid.

Step1

Given:

Percentage change in volume is 1%.

Change in pressure is 10000 Psi.

Calculation:

Step2

Volumetric strain is calculated as follows:

Step3

Bulk modulus is calculated as follows:

\frac{\bigtriangleup V}{V}=0.01

K = 1000000 Psi.

Thus, the required bulk modulus is Psi.

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