Pressure inside liquids at a point does not depend on:

CONCEPT:

• Pressure: The force applied perpendicular to the surface of objects per unit area is called pressure.

The pressure is calculated by:

P = F/A (Force per unit area)

where F is the force and A is the area.

The pressure inside a liquid is given by:

P = ρgh

where ρ is the density of the liquid, h is the depth of the liquid from the free surface, g is the acceleration due to gravity.

EXPLANATION:

The pressure inside a liquid is given by:

P = ρgh

Therefore the Pressure inside the liquid at a point depends on-

1. ρ the density of the liquid,
2. h the depth of the liquid from the free surface,
3. g the acceleration due to gravity.

• It does not depend on the shape of the container.
• Also, it does not depend on the amount of water in the container.

• In the above diagram, the liquid filled in the three different vessels is the same. and it is filled up to height h the same in all cases.
• From the formula, P = ρgh pressure at the bottom of all the surfaces will be the same. However, all three will have a different shape and a different amount of water.
• So Pressure inside liquids at a point does not depend on the amount of liquid in the container.
• Hence the correct answer is option 3.