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------------------------------------------------ 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. 0.00001 psi
D. 0.000001 psi
E. None of these

Answer :

Answer:

The required bulk modulus is [tex]10^{6}[/tex] 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:

[tex]\frac{\bigtriangleup V}{V}=\frac{1}{100}[/tex]

[tex]\frac{\bigtriangleup V}{V}=0.01[/tex]

Step3

Bulk modulus is calculated as follows:

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

[tex]\frac{\bigtriangleup V}{V}=0.01[/tex]

[tex]10000=K\times0.01[/tex]

K = 1000000 Psi.

Thus, the required bulk modulus is [tex]10^{6}[/tex] Psi.