The pressure exerted by a liquid column at the bottom of the liquid container isa)Dependent on the density of the liquidb)Equal in all directionsc)Not dependent on the area of cross-section of containerd)All the above are trueCorrect answer is option 'D'. Can you explain this answer?

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The pressure exerted by a liquid column at the bottom of the liquid container is

a)
Dependent on the density of the liquid
b)
Equal in all directions
c)
Not dependent on the area of cross-section of container
d)
All the above are true

Correct answer is option 'D'. Can you explain this answer?

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The pressure exerted by a liquid column at the bottom of the liquid co...

Pressure in liquids is the multiplication of three quantities i.e.
Where:
- P is the pressure at the depth,
- ρ is the density of the fluid,
- g is the acceleration due to gravity, and
- h is the depth or height of the fluid column.
Option 1 - Dependent on the density of the liquid
- Pressure is directly proportional to the density (ρ) of the liquid.
- As the density increases, the pressure at a given depth also increases.
Option 2 - Equal in all directions
- Pascal's Law states that when there is an increase in pressure at any point in a confined fluid, there is an equal increase in pressure throughout the fluid in all directions.
- In the context of a liquid in a container, this means that the pressure at the bottom of the container is transmitted equally in all directions to the sides and top of the container.
Option 3 - Not dependent on the area of cross-section of container
- As per the formula, the pressure (P) is not directly dependent on the area of cross-section (A) of the container.
- The pressure is primarily influenced by the height, density, and acceleration due to gravity.

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The pressure exerted by a liquid column at the bottom of the liquid container isa)Dependent on the density of the liquidb)Equal in all directionsc)Not dependent on the area of cross-section of containerd)All the above are trueCorrect answer is option 'D'. Can you explain this answer?

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