12) Which of the following statement is a consequence of the equation of continuity? a) Pressure in a static fluid is transmitted uniformly throughout b) Fluid flows faster through a narrower pipe c) Flow rate depends on the height of the fluid above the hole d) None of the above
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
Given question regarding Equation of continuity
Equation of continuity can be expressed as
A1v1 = A2 v2
where A represent the cross sectional area and v the velocity .
The equation proves the law of conservation of mass in fluid dynamics. The continuity equation states that the mass flow rate of the fluid flowing in a pipe remains constant.
The consequence of Equation of continuity is in narrower region(with less area), fluid flows faster.
ie) correct answer is option B
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