Pressure inside liquids at a point does not depend on:

  1. vertical depth of the point
  2. density of the liquid
  3. amount of liquid in the container
  4. acceleration due to gravity

Answer (Detailed Solution Below)

Option 3 : amount of liquid in the container
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Detailed Solution

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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.

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