Let us take a beaker filled with water. We increase the pressure on air in the beaker at its bottom. The pressure is transmitted ina)west directionb)east directionc)eqully in all directionsd)south directionCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

Because pressure exerted by liquids is same in all direction at the same height.

Answer

To understand the direction in which the pressure is transmitted in a beaker filled with water, let's consider the following points:
1. Pressure Transmission:
When pressure is applied to a fluid, it gets transmitted in all directions equally. This is known as Pascal's principle, which states that any change in pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and the walls of its container.
2. Beaker filled with Water:
In the given scenario, we have a beaker filled with water. Water is a fluid and therefore follows Pascal's principle.
3. Increasing Pressure on Air:
We are increasing the pressure on the air in the beaker at its bottom. This means that we are applying a force to the air molecules, resulting in an increase in pressure.
4. Pressure Transmission Direction:
Based on Pascal's principle, the increased pressure on the air at the bottom of the beaker will be transmitted equally in all directions. This means that the pressure will propagate upwards, downwards, sideways, and in all other directions within the beaker.
Therefore, the correct answer is option C: Equally in all directions.

Answer

Pressure Transmission in a Beaker
Pressure transmission in a beaker filled with water occurs equally in all directions. This is known as Pascal's Principle, which states that when pressure is applied to a confined fluid, the pressure change is transmitted undiminished in all directions throughout the fluid.

Explanation:
- Equally in all directions: When pressure is applied at the bottom of the beaker, the water molecules in contact with the air at the bottom experience an increase in pressure. According to Pascal's Principle, this increase in pressure is transmitted equally in all directions throughout the water in the beaker. This means that the pressure increase will be felt at all points within the water, not just in one specific direction.
- Pascal's Principle: This principle is based on the fact that fluids are not able to support shear stresses, so any change in pressure applied to a confined fluid is transmitted undiminished throughout the fluid. In the case of the beaker filled with water, the pressure increase at the bottom will be transmitted equally to all sides and the top of the water.
- Consequence: As a result of this pressure transmission, the water in the beaker will experience a uniform increase in pressure at all points. This phenomenon is crucial in various applications, such as hydraulic systems, where the transmission of pressure allows for the amplification of force for mechanical work.
Therefore, when pressure is increased at the bottom of a beaker filled with water, the transmission of this pressure will occur equally in all directions throughout the water in the beaker.

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