The correct assumption made to perform a venturimeter experiment is (are).A) that Bernoulli’s theorem holds goodB) that equation of continuity Is maintainedC) that the fluid used is highly incompressibleD) that all of the above are true

A Venturimeter is an instrument used to measure the flow rate of a fluid in a pipe. The working of a venturimeter relies on certain assumptions based on fluid dynamics principles. These assumptions are crucial for accurately applying Bernoulli's equation and the continuity equation to the experiment.
1. Bernoulli’s Theorem Holds Good (A):
o Bernoulli’s theorem applies to steady, incompressible, and non-viscous flow. In a Venturimeter, Bernoulli's principle is used to relate the pressure difference between two points (at the wider and narrower sections of the pipe) to the velocity of the fluid. Thus, it is assumed that Bernoulli’s theorem holds true under the conditions of the experiment.
2. Equation of Continuity is Maintained (B):
o The equation of continuity states that the mass flow rate is constant along a streamline, i.e., the product of cross-sectional area and velocity at any point is constant. This assumption is essential for a venturimeter since the velocity at the narrower section of the pipe is higher than at the wider section, leading to the pressure difference used for flow rate determination.
3. The Fluid Used is Highly Incompressible (C):
o For the equation of continuity and Bernoulli's equation to hold accurately, the fluid should be incompressible. This is usually assumed in venturimeter experiments to ensure that changes in pressure do not cause significant volume changes in the fluid. Liquids are typically considered incompressible for practical purposes, while gases may require additional considerations.
Answer:
• D) All of the above are true: Correct. All the assumptions—Bernoulli's theorem, the equation of continuity, and the incompressibility of the fluid—are critical for performing a successful venturimeter experiment.
Conclusion:
The correct answer is D) All of the above are true. These assumptions ensure the accurate application of fluid dynamics principles during the venturimeter experiment.