Final answer:
The statement is true: a fixed orifice tube provides a consistent output based on its orifice size. This concept is tied to the principles of fluid dynamics and the continuity equation that governs the behavior of incompressible fluids in various cross-sectional areas.
Step-by-step explanation:
True. A fixed orifice tube provides a consistent output based upon the size of its orifice. In physics, this is related to fluid dynamics where the flow rate through an orifice, or any other constriction, is determined by the cross-sectional area of that opening.
In the case of an incompressible fluid, such as water, flowing through a constriction like a Venturi tube, the speed of the fluid increases as it passes through the constriction. This happens because, to maintain a constant flow rate, the fluid must move faster through the smaller cross-sectional area, which can be explained by the continuity equation, stating that the product of cross-sectional area and fluid speed at any point along the pipeline remains constant (A1V1 = A2V2).
To 'prove' the relationship between speed and diameter, consider the diameter reduction by a factor and its effect on area. If the diameter decreases by a factor of 'n', the area (which is proportional to the square of the diameter, A ∝ d^2) decreases by a factor of n^2. Since the volume flow rate must remain constant, the speed must increase by a factor of n^2 to compensate.