Which of the following statements about the pressure in a liquid is NOT correct? It

Analyze the question: We need the statement that is NOT correct about pressure in a liquid.

Concept: Pressure in a liquid at a depth h is given by

P = hρg

where ρ is the density of the liquid and g is the acceleration due to gravity. From this:

• Pressure depends on depth (h) and density (ρ) only (plus g).
• It does not depend on the shape, size, or material of the container.
• At the same depth (the same horizontal level) in a liquid at rest, the pressure is the same.
• Pressure at a point in a liquid acts equally in all directions.

Checking each option:

• A. Acts in all directions: Correct. A liquid exerts pressure in every direction at a point.
• B. Changes with the material of the container: NOT correct. The formula P = hρg has no term for the container's material.
• C. Is the same at all points in the same horizontal plane: Correct. Same depth means same pressure.
• D. Varies with the density of the liquid: Correct, since P ∝ ρ.
• E. Varies with the depth of the liquid: Correct, since P ∝ h.

Answer: B. The pressure in a liquid does not change with the material of the container.

Tip: For liquid pressure questions, remember P = hρg. If a quantity isn't in the formula (container shape, container material, or the amount of liquid), it does not affect the pressure. This is why the pressure at the bottom is the same in differently shaped vessels filled to the same height with the same liquid.