Bernoullis principle and applications - One Line Questions

1. In the case of a horizontal pipe with varying cross-section, if the velocity of the fluid doubles, the kinetic energy per unit volume changes by a factor of: 4
2. The lift generated by an airplane wing is proportional to the square of the airspeed. If the airspeed is doubled, the lift increases by a factor of: 4
3. The formula P + (1/2)ρv^2 + ρgh = constant applies to: Inviscid and steady flow
4. Which fundamental principle of fluid dynamics states that for an inviscid flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy? Bernoulli's Principle
5. An airplane wing is designed to generate lift. This is primarily explained by: Bernoulli's principle
6. Atomizers, like those used in perfume bottles or spray paint cans, work on the principle of: Bernoulli's principle
7. In a Venturi tube, the ratio of the velocity in the wider section to the velocity in the narrower section is equal to the ratio of the cross-sectional area of the narrower section to the cross-sectional area of the wider section. This is due to the: Conservation of Mass (Continuity Equation)
8. Bernoulli's principle is a direct consequence of which conservation law? Conservation of Energy
9. A sailing boat moves forward because the wind passing over the curved sail: Creates lower pressure on the outside of the sail
10. Consider a fluid flowing through a pipe that expands. According to Bernoulli's principle, as the velocity decreases, the pressure will: Increase
11. The 'Bi-plane effect' or the tendency for two parallel planes moving close to each other to be attracted is explained by: Bernoulli's principle
12. How does an atomizer work using Bernoulli's principle? A fast-moving stream of air across the top of a vertical tube dipping into the liquid creates: Low pressure, drawing the liquid up
13. The pressure difference between the inside and outside of a fast-moving car is: Lower inside than outside
14. Why does an airplane wing generate lift? The curved upper surface causes air to travel faster than the air flowing under the flatter bottom surface, resulting in: Lower pressure above the wing and higher pressure below
15. When two parallel planes move close to each other, the air between them is forced to move faster. According to Bernoulli's principle, this results in: Lower pressure between the planes
16. How does the Magnus effect work for a spinning ball? The spin causes the air velocity on one side to be higher, leading to: Lower pressure on that side
17. In a Venturi meter, a fluid flows through a pipe with a constriction. The pressure in the constricted part of the Venturi tube is: Lower than in the wider part
18. For a fluid flowing in a horizontal pipe of varying cross-sectional area, Bernoulli's principle implies that where the speed of the fluid is highest, the pressure will be: Lowest
19. In a vertical pipe where fluid flows upwards, if the velocity increases, the pressure will: Increase due to velocity, but decrease due to height
20. Consider a fluid flowing through a pipe that narrows. According to Bernoulli's principle and the continuity equation, as the area decreases, the fluid velocity increases, and its pressure: Decreases
21. The operation of a chimney is enhanced by the wind. Wind blowing over the top of the chimney:
22. A fire hose nozzle is designed to increase the speed of water. This is achieved by: Decreasing the cross-sectional area of the nozzle
23. What is the main limitation of Bernoulli's principle when applied to real-world scenarios like water flowing in pipes? It neglects viscosity and turbulence
24. What happens to the potential energy term (ρgh) in Bernoulli's equation when a fluid flows from a higher point to a lower point in a pipe, assuming other factors are constant? It decreases
25. If the pressure in a fluid decreases, and the fluid is flowing horizontally, what must happen to the fluid's kinetic energy? It must increase.
26. What does the term 'ρgh' in Bernoulli's equation represent? Gravitational potential energy per unit volume
27. When an object moves through a fluid, the pressure on the leading surface is higher than the pressure on the trailing surface if the fluid is flowing. This pressure difference contributes to: Drag
28. Which of the following is NOT a direct application or consequence of Bernoulli's principle? Buoyancy of a ship
29. The reduction in pressure as the speed of a fluid increases is most closely related to the conservation of: Energy
30. The phenomenon of a spinning ball curving in flight (like a curveball in baseball) is explained by: The Magnus effect, which is related to Bernoulli's principle
31. In the Bernoulli equation, the term representing the potential energy per unit volume is: ρgh
32. The diagram shows a horizontal pipe with two sections, A and B. Section A has a larger diameter than section B. If a fluid flows from A to B, what is the relationship between pressure P_A and P_B? P_A > P_B
33. When water flows out of a small hole in a tank, the speed of efflux is related to the height of the water above the hole. This is a direct application of: Torricelli's Law (derived from Bernoulli's principle)
34. The concept of dynamic lift, as experienced by airplane wings, relies on the difference in air pressure created by the flow of air over a curved surface. This difference in pressure is a direct manifestation of: Bernoulli's Principle
35. The blowing of air across the top of a vertical tube dipped into a liquid causes the liquid to rise and atomize. This is an example of: Bernoulli's Principle
36. The equation representing Bernoulli's principle for a horizontal flow of an ideal fluid is given by P + (1/2)ρv^2 = constant. What does 'P' represent in this equation? Pressure energy per unit volume
37. In the Bernoulli equation P + (1/2)ρv^2 + ρgh = constant, what does the term (1/2)ρv^2 represent? Kinetic energy per unit volume
38. Consider a fluid flowing vertically upwards. How does the pressure change along the flow direction, assuming constant velocity? Pressure decreases
39. The operation of a Pitot tube, used to measure fluid speed, relies on the difference between stagnation pressure and static pressure. This difference is related to: Bernoulli's principle
40. A common misconception about airplane lift is that it's solely due to the angle of attack pushing air downwards. While this contributes (Newton's third law), the primary mechanism for significant lift is: Bernoulli's principle due to differential air speeds
41. In the context of Bernoulli's principle, what is meant by 'steady flow'? The velocity of the fluid at any point remains constant over time
42. Which of the following is a key assumption for Bernoulli's principle to be strictly applicable? The fluid must be incompressible and the flow steady
43. Which of the following conditions must be met for Bernoulli's principle to be accurately applied? The fluid must be incompressible and the flow steady and non-viscous.
44. In the context of Torricelli's Law, what does 'h' represent? The depth of the hole below the free surface of the liquid
45. Why does a shower curtain tend to move inwards when the shower is running? The fast-moving water creates a low-pressure area inside the shower
46. When a fluid flows through a constriction, its velocity increases. This leads to a decrease in pressure. What is the consequence for the surrounding fluid if the constriction is in a pipe immersed in a larger fluid body? The surrounding fluid is drawn towards the constriction.
47. If a fluid is flowing through a pipe and the pressure decreases, what can be inferred about the velocity of the fluid, assuming horizontal flow and negligible viscosity? The velocity must increase.
48. What is the primary purpose of a Venturi meter? To measure the flow rate of a fluid
49. Torricelli's Law states that the speed of efflux (v) of a fluid from a small hole at a depth h below the surface is given by: v = √(2gh)