Which of the following is TRUE for the pressure exerted by a liquid?a)Pressure is independent of depth of the liquid.b)Pressure is always in the downward direction only.c)Pressure is exerted in all directions but downward pressure is greater than sideways pressure.d)At the same depth, pressure is same in all directions.Correct answer is option 'D'. Can you explain this answer?

Question

Answer

Pressure exerted by any point in the fluid is equal in all directions. Pressure directly depends on height a particular fluid exerts equal pressure

Answer

At the same depth, pressure is Same all directions

Answer

Explanation:

The correct answer is option 'D': At the same depth, pressure is the same in all directions.

Pressure in a liquid:

When a liquid is at rest, it exerts pressure on the walls of its container and any object submerged in it. The pressure exerted by a liquid depends on the depth and density of the liquid, as well as the acceleration due to gravity.

Pressure is independent of depth of the liquid:

Option 'A' states that pressure is independent of the depth of the liquid. However, this is not true. The pressure exerted by a liquid increases with depth. This is due to the weight of the liquid above causing more particles to press down on the particles below.

Pressure is always in the downward direction only:

Option 'B' states that pressure is always in the downward direction only. This is also not true. Pressure is exerted in all directions in a liquid. The pressure at any point in a liquid is transmitted equally in all directions.

Pressure is exerted in all directions but downward pressure is greater than sideways pressure:

Option 'C' states that pressure is exerted in all directions, but the downward pressure is greater than sideways pressure. This is also not true. The pressure in a liquid is the same in all directions at the same depth. This is known as Pascal's law, which states that pressure applied to a fluid is transmitted uniformly in all directions.

At the same depth, pressure is the same in all directions:

Option 'D' is the correct answer. At the same depth in a liquid, the pressure is the same in all directions. This means that the pressure at the bottom of a container filled with liquid is the same as the pressure at the top or the sides. The pressure at any point in a liquid depends only on the depth of the liquid and the density of the liquid.

In conclusion:

The correct statement regarding the pressure exerted by a liquid is that at the same depth, pressure is the same in all directions. This is because the pressure in a liquid is transmitted equally in all directions due to Pascal's law.

Answer

Pressure exerted by a liquid:
Explanation:
- When a liquid is at rest, it exerts pressure in all directions.
- The pressure exerted by a liquid depends on the depth of the liquid.
- The pressure increases with increasing depth due to the weight of the liquid above.
- The pressure exerted by a liquid at a certain depth is the same in all directions.
- This is known as Pascal's law, which states that the pressure at a point in a fluid is transmitted equally in all directions.
- The pressure at a certain depth is independent of the shape of the container or the area of the surface.
- The pressure is dependent only on the density of the liquid and the depth.
- Therefore, the statement 'At the same depth, pressure is the same in all directions' is true for the pressure exerted by a liquid.
Summary:
The correct statement for the pressure exerted by a liquid is: 'At the same depth, pressure is the same in all directions.'

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