A closed vessel in half filled with water. There is a hole near the to...
The correct answers are: The pressure at the surface of the water will decrease, The force by the water on the bottom of the vessel will decrease
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A closed vessel in half filled with water. There is a hole near the to...
Explanation:
When air is pumped out from the hole near the top of the vessel, several changes occur in the system. Let's analyze each option:
a) The pressure at the surface of the water will decrease:
- As air is pumped out from the hole, the pressure inside the vessel decreases.
- Since the pressure inside the vessel is now lower than the pressure at the surface of the water, the pressure at the surface of the water will also decrease.
- This is because the pressure at any point in a fluid is determined by the weight of the fluid above it. As the air is pumped out, the weight of the air above the water decreases, resulting in a decrease in pressure.
b) The force by the water on the bottom of the vessel will decrease:
- The force exerted by a fluid on a surface is given by the product of pressure and area (Force = Pressure x Area).
- As the pressure at the surface of the water decreases, the force exerted by the water on the bottom of the vessel also decreases.
- This is because the pressure difference between the top and bottom of the vessel decreases, resulting in a decrease in the force exerted by the water.
c) The water level will rise up in the vessel:
- Since the vessel is closed, the volume of water inside the vessel remains constant.
- When air is pumped out from the hole, the pressure inside the vessel decreases.
- However, the pressure at the surface of the water also decreases, resulting in a balanced system.
- The decrease in pressure does not cause the water level to rise as there is no external force pushing the water up.
d) The density of the liquid will decrease:
- The density of a liquid is a characteristic property that depends on the nature of the liquid and does not change with changes in pressure or volume.
- The pumping out of air does not affect the density of the water.
Therefore, the correct answers are option 'A' and 'B'. The pressure at the surface of the water will decrease, and the force exerted by the water on the bottom of the vessel will also decrease.