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The intensity of pressure at any point, in a liquid, is
- a)directly proportional to the area of the vessel containing liquid
- b)directly proportional to the depth of liquid from the surface
- c)directly proportional to the length of the vessel containing liquid
- d)inversely proportional to the depth of liquid from the surface
Correct answer is option 'B'. Can you explain this answer?
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The intensity of pressure at any point, in a liquid, isa)directly prop...
Introduction:
The intensity of pressure in a liquid is an important concept in fluid mechanics. It is necessary to understand the factors that affect the pressure in a liquid in order to design and operate various hydraulic systems.
Explanation:
The intensity of pressure at any point in a liquid is directly proportional to the depth of the liquid from the surface. This is known as Pascal's law. The following points explain why this is the case:
• Pascal's law states that the pressure applied to a confined fluid is transmitted equally in all directions. This means that the pressure at any point in a liquid is the same in all directions.
• The pressure in a liquid is caused by the weight of the liquid above it. The deeper the liquid, the greater the weight and therefore the greater the pressure.
• The pressure in a liquid is also affected by the density of the liquid. However, for liquids with similar densities, the pressure is primarily affected by the depth of the liquid.
• The pressure in a liquid is measured in units of force per unit area, such as pounds per square inch (psi) or pascals (Pa).
Conclusion:
In conclusion, the intensity of pressure in a liquid is directly proportional to the depth of the liquid from the surface. This is due to the weight of the liquid above it and the equal transmission of pressure in all directions according to Pascal's law. Understanding this concept is important for designing and operating hydraulic systems.
The intensity of pressure in a liquid is an important concept in fluid mechanics. It is necessary to understand the factors that affect the pressure in a liquid in order to design and operate various hydraulic systems.
Explanation:
The intensity of pressure at any point in a liquid is directly proportional to the depth of the liquid from the surface. This is known as Pascal's law. The following points explain why this is the case:
• Pascal's law states that the pressure applied to a confined fluid is transmitted equally in all directions. This means that the pressure at any point in a liquid is the same in all directions.
• The pressure in a liquid is caused by the weight of the liquid above it. The deeper the liquid, the greater the weight and therefore the greater the pressure.
• The pressure in a liquid is also affected by the density of the liquid. However, for liquids with similar densities, the pressure is primarily affected by the depth of the liquid.
• The pressure in a liquid is measured in units of force per unit area, such as pounds per square inch (psi) or pascals (Pa).
Conclusion:
In conclusion, the intensity of pressure in a liquid is directly proportional to the depth of the liquid from the surface. This is due to the weight of the liquid above it and the equal transmission of pressure in all directions according to Pascal's law. Understanding this concept is important for designing and operating hydraulic systems.
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The intensity of pressure at any point, in a liquid, isa)directly prop...
As the depth increases, the pressure exerted by the liquid molecules over the next one below increases. As per the the Hydrostatic pressure law, weight of the fluid will cause pressure by the equation, p=rho g h , where rho is the density of the fluid and g is acceleration due to gravity. The only variable h, is the height of the fluid point under consideration. So if height/depth increases, pressure increases.
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The intensity of pressure at any point, in a liquid, isa)directly proportional to the area of the vessel containing liquidb)directly proportional to the depth of liquid from the surfacec)directly proportional to the length of the vessel containing liquidd)inversely proportional to the depth of liquid from the surfaceCorrect answer is option 'B'. Can you explain this answer?
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