AIIMS2019Physics-Fluid Mechanics

AIIMS 2019 Physics Pressure in Fluids MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The formula for the pressure exerted by the liquid on the base is, P = ρgh. Rewrite the above equation. P = (m/V)gh = (m/A×h)gh = gm/A. The force exerted by the liquid is, F = P×A = (gm/A)×A = gm. Since the mass of the A, B and C are equal. Therefore, F_A = F_B = F_C.

A

Option A

B

Option B

C

Option C

D

Option D

Correct Answer

Option C

Detailed Explanation

Option C is correct because it accurately reflects the principle that the force exerted by a liquid at a given depth is equal for equal masses, regardless of the shape or area of the base, as derived from the equation F=P×AF = P \times A. Since the pressure PP is uniform across the same height hh and density ρ\rho of the liquid, the forces FA,FB,F_A, F_B, and FCF_C are equal when the masses are the same. Other options may misinterpret the relationships between pressure, force, and area or fail to recognize that equal masses lead to equal forces, regardless of the base area. Understanding these relationships is crucial for applying fluid mechanics principles effectively.

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