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The velocity of efflux of an ideal liquid depend upon
- a)area of orifice
- b)density of liquid
- c)cross-sectional area of vessel
- d)depth of point below the free surface of liquid
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The velocity of efflux of an ideal liquid depend upona)area of orifice...
Velocity of efflux v=2gh−−−√v=2gh , which is independent of area of orifice, area cross section of vessel and density of liquid.
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The velocity of efflux of an ideal liquid depend upona)area of orifice...
Depth of Point Below the Free Surface of Liquid
The velocity of efflux of an ideal liquid depends on the depth of the point below the free surface of the liquid. This is because the velocity of efflux is directly proportional to the square root of the depth of the liquid.
Explanation
When a small opening is made at the bottom of a vessel containing a liquid, the liquid flows out due to the pressure difference between the free surface and the point of efflux. The velocity of efflux is determined by the height of the liquid column above the opening, which is the depth of the point below the free surface of the liquid.
As per Torricelli's theorem, the velocity of efflux (v) can be calculated using the formula: v = √(2gh), where h is the depth of the point below the free surface of the liquid and g is the acceleration due to gravity.
Significance
The depth of the point below the free surface of the liquid plays a crucial role in determining the velocity of efflux. A greater depth results in higher velocity, while a shallower depth leads to a lower velocity. This relationship is essential in various applications, such as designing fountains, water tanks, and hydraulic systems.
Therefore, understanding the impact of the depth of the point below the free surface of the liquid on the velocity of efflux is crucial for engineers, physicists, and anyone working with fluid dynamics.
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The velocity of efflux of an ideal liquid depend upona)area of orificeb)density of liquidc)cross-sectional area of vesseld)depth of point below the free surface of liquidCorrect answer is option 'D'. Can you explain this answer?
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