MCQEasyJEE 2023Fluid Pressure & Pascal's Law

JEE Physics 2023 Question with Solution

Given below are two statements: Statement I: Pressure in a reservoir of water is the same at all points at the same level of water. Statement II: The pressure applied to enclosed water is transmitted in all directions equally. Choose the correct answer from the options given below:

  • A

    Both Statements I and Statements II are false

  • B

    Both Statements I and Statements II are true

  • C

    Statement I is true, but Statement II is false

  • D

    Statement I is false, but Statement II is true

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: Two statements about pressure in water are to be checked.

Find: Which option correctly describes the truth values of Statement I and Statement II.

By Pascal’s law, pressure is equally transmitted to enclosed water in all directions. Statement II directly reflects this.

Statement I is also true because at a given depth (level) in a static fluid, the pressure is the same in all directions. This is due to the hydrostatic pressure which depends only on the density of the fluid and depth.

Therefore, both Statement I and Statement II are true. The correct option is B.

Common mistakes

  • Confusing same level with different depths. In a static fluid, pressure is the same only for points at the same depth. Compare points at equal depth, not merely arbitrary positions in the reservoir.

  • Misreading Pascal’s law as applying only upward or downward. The applied pressure in an enclosed fluid is transmitted equally in all directions, so do not restrict it to one direction.

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