# data[].attributes.body
Answer to Question 1: The height of the liquid column remains constant because when areas increases the forces acting on it will decrease and vice versa which makes them inversely proportional. Here the atmospheric pressure neutralises the change in area and keeps the height of the liquid column constant.

Answer to question 2: The cap fell down from bottle when it was compressed because

# data[].attributes.body
Q1: The height of the liquid column will not change even if there is a larger area and larger volume of liquid, because the atmosphere is still applying the same force on the liquid in the container, which is in turn applying the same amount of force onto every liquid column, lifting the liquid by the same height. If you place a beaker instead of a test tube in a liquid, the liquid in the beaker and test tube will have the same height, because each liquid column is being pushed by the same amount of force, which is indirectly applied by the atmosphere. Since there are more liquid columns in a beaker than in a test tube, the atmospheric pressure pushes all the liquid upwards.

# data[].attributes.body
Q1 -
As the area of the liquid is increased or decreased, the level of the liquid remains the same because the atmospheric adjusts itself the the volume of liquid.

Q2-
The cap sinks in the bottle because when you squeeze the bottle, the water rushes into the hole in the cap. This will compress the air within, making it denser. The air will eventually become denser than the water and sink because of this.

# data[].attributes.body
Q1) The height of the column dosent increase or decrease  because the atmospheric will move proportionally along the area causing the height to be the same

Q2) When we compress the bottle the air in side the bottle got compressed and denser and therefore floated down to the bottom of the bottle

# data[].attributes.body
Q1:
The height of the liquid column will not increase or decrease even if area of the column changes. This is because if the area increases, the force pulling the liquid down will be greater, but the upward forces will have more area to act on, and will push the liquid back up. Gravity will lose, and the liquid will remain in the liquid column. This will even out depending on the area of the column. If the column is narrow then the pressure arrow acting upwards will be less but enough to cancel out the forces acting downward. And if the area is more, the downward force will be greater but the pressure arrows that act upwards will also increase, balancing out with gravity (the downward force). This does not allow the liquid to fall out.

Q2:
The cap fell down when the bottle was compressed because the air inside the cap got compressed, and denser, and therefore floated down to the bottom of the bottle.

# data[].attributes.body
Q1:  The height of the liquid will not change with an increase or decrease in area as the atmospheric pressure will remain the same. The net force will be same even though the number of  points where the pressure acts changes (Height will remain the same)

Q2:  When the bottle is compressed, the water enters the cap

# data[].attributes.body
Answer to Q1:Even though there is an increase in the area of the liquid the atmospheric pressure keeps the height.Whenever the area is increased the net force remains the same

# data[].attributes.body
Q1.  When the area of the liquid is increased or decreased there are more forces of the liquid being pushed up however by the same force. The only thing that changes when the area of liquid increases or decreases is the number of forces or arrows in a diagram that are being added or removed. The value or the force exerted by the liquid is still the same resulting in the same height of the liquid in a narrow or broad container. Hence the change of height in both scenarios is 0. This is also because, the new atmospheric pressure takes care of the new amount of liquid inserted in the container holding it up and not letting it fall down. This means that the are on which the atmoshpheric force is acting has increases but the amount of force exerted by these new forces is still the same. The increase in volume of the liquid, the weight of the liquid will not change as the weight is mass into gravitational force so there is no relation with volume when it comes to weight.
Q2.  The cap falls down as when the bottle is compressed, air passes through the hole made in the cap, resulting in the density of the cap to be increasing. When the bottle is compressed the volume decreases and as we have derived that volume and density are inversely proportionate, the density will increase with the decrease in volume of the water. This can be easily related with the diver's experiment where the volume of the liquid decreased with an increase in density as the depth of the sea increases.

# data[].attributes.body
Q1: If the area increases then the force being generated by the liquid in the container increases, but the atmospheric pressure has that much more surface area as well, so they balance out.
Q2: When you compress the water, the air inside the pen cap compresses, making it more denser than water and thus it dives down.

# data[].attributes.body
Q1. The surface area on which the atmospheric pressure acts is inversely proportional to the area upon which the liquid pressure is applied. The pressure of the liquid distributes evenly. In all instances, the pressure applied by air and the pressure that gravity causes the liquid to exert cancel each other out, so the height of the column remains the same.

∆h=0

Q2. When the bottle is compressed, water enters through the hole in the clay. Because air is compressible and water is not, the water compresses the air pocket inside the cap. This causes the air pocket to become denser than the water surrounding it, and so the cap sinks. When the bottle is released, the air bubble reverts to its original size and becomes less dense, thus causing the cap to rise.

# data[].attributes.body
1) Because, when the area of the liquid column increases, more area is there for the atmospheric pressure to act on, thus the delta height would still be the same. Moreover, as the weight of an object depends, on the mass and the gravitational force, the volume would not affect it.

2) Because, when the bottle was compressed, the volume within the bottle was reduced, and because density is inversely proportional to volume, the less the volume the more the density. As there is more density within the bottle, which is directly proportional to pressure, there will be more pressure felt within the bottle.Because of this, the bottle cap sunk down, as denser things sink.

# data[].attributes.body
Q1. Even though there is an increase in area of the liquid column, the downward force exerted by the atmospheric pressure stays the same. When the area increases there are more amount of smaller forces act on the surface, though the net force remains the same

# data[].attributes.body
Q1:  The height of the liquid column doesn't change because the liquid has the same density as before. Density is directly proportional to height. If you were to change liquid to a denser liquid then the height of the column would decrease. Also the atmospheric pressure would be able to act on a greater amount of area for the atmospheric pressure to act on. That would mean that

∆h=0

Q2:
When you compress the bottle, air flows into the hole made in the clay. This made the cap heavier causing it to fall to the bottom. Once you stop compressing it, the air flows out of the cap, the cap become lighter so it is able to float again.

# data[].attributes.body
Q1: Despite the increase in area of the liquid column, the downward force exerted by atmospheric pressure maintains the height of the column. When the area is increased, there are multiple smaller forces acting on its surface, but the net force remains the same. The atmospheric pressure will remain constant regardless of any changes in the setup. Another thing to note is that there is no relationship between volume and weight - a body can occupy a larger amount of space, but it may still have the same mass.

Q2: Compressing the bottle makes the air inside the cap compress, since gases can be compressed. This results in a decrease in volume. A decrease in volume causes an increase in density because they are inversely proportional, so the cap sinks.

# data[].attributes.body
Q1. Even if the area of the liquid column is changed, the height remains constant as the atmospheric pressure changes in the opposite direction, thereby cancelling out the change in area (because the amount of atmospheric pressure acting on the liquid changes)

Q2. Density is inversely proportional to volume. The liquid in the bottle was incompressible whereas the air in the air pocket in the pen was compressible so when the bottle was squeezed, the air pocket was compressed, increasing its density and the denser object sinks so when the bottle was squeezed the air in the pen cap caused it to sink (as its density was great enough).

# data[].attributes.body
Q1) The height will remain the same because even though there is more pressure acting downwards (exerted by the liquid in the test tube), pressure is distributed equally throughout the liquid (in the container) and hence the atmospheric pressure is equally distributed throughout the liquid and manages to cancel out the pressure exerted by gravity and hence the height of the liquid remains the same.

Q2) Density is inversely proportional to volume. When the bottle was squeezed, the volume decreased and hence the density of the cap increased due to the air in the cap getting compressed and hence it sank

# data[].attributes.body
Q1. The height of the liquid column does not change with the area due to the atmospheric pressure. As the area changes, the number of points where pressure acts changes, keeping the height of the column same.

Q2. Water enters the cap when the bottle is compressed and therefore compresses the air inside the cap. This results in the air becoming denser and the cap falls down.