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Fluids undergo volume change under external pressure due to 
1. Plasticity
2. Viscosity
3. Tenacity
4. Compressibility

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Correct Answer - Option 4 : Compressibility

Explanation:

Tenacity:
The tenacity of a body is represented by the greatest longitudinal stress per unit of cross section that it can bear without rupture. 

Plasticity:
It is the property of material to undergo a non-reversible change of shape in response to an applied force.

Viscosity:

The property which opposes the relative motion between two adjacent layers in a fluid is known as viscosity.

Compressibility (α):

It is the measure of the change in volume or density of matter under the application of pressure. It is given as an inverse of the bulk modulus.

\({\rm{\alpha }} = \frac{1}{{\rm{K}}}\)

Bulk modulus (K):

It is the measure of pressure required to create a change in volume per initial volume.

\({\rm{K}} = \frac{{ - {\rm{dp}}}}{{\frac{{{\rm{dv}}}}{{\rm{v}}}}}\)

The minus sign indicates a decrease in the volume of fluid

Thus the answer is compressibility.

Compressible and incompressible flow:

The compressibility of flow is decided based on volumetric strain and not on bulk modulus

\(\frac{{{\rm{dV}}}}{{\rm{V}}} \le 0.05,{\rm{then\ the\ flow\ is\ incompressible}}\)

\(\frac{{{\rm{dV}}}}{{\rm{V}}} > 0.05,\;{\rm{then\ the\ flow\ is\ compressible}}\)

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