Which of the following statements about a fluid at rest in a cup is/ar

Which of the following statements about a fluid at rest in a cup is/are correct ?

  • 1. Pressure is same at all the points in the fluid.
  • 2. Pressure is exerted on the walls.
  • 3. Pressure exists everywhere in the fluid.

Select the correct answer using the code given below :

1 and 2 only
2 and 3 only
1 only
1, 2 and 3
This question was previously asked in
UPSC NDA-1 – 2018
Statements 2 and 3 are correct regarding a fluid at rest in a cup. Statement 1 is incorrect as pressure varies with depth.
In a fluid at rest, pressure is exerted on any surface in contact with the fluid (like the walls of the cup) and acts perpendicular to the surface. Pressure also exists throughout the fluid’s volume. However, pressure in a fluid at rest varies with depth due to the weight of the fluid above, according to the formula P = P₀ + ρgh, where P₀ is the surface pressure, ρ is the fluid density, g is gravity, and h is depth. Thus, pressure is not the same at all points unless they are at the same depth.
Pressure in a fluid at rest is the same at all points at the same horizontal level. Pascal’s law states that pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel.
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