AIIMS 2019 Physics Pressure in Fluids MCQ Question
Three liquids of equal masses are taken in three identical cubical vessels , and . Their densities are and . The force exerted by the liquid on the base of the cubical vessel is
Maximum in vessel
Minimum in vessel
The same in all vessels
Maximum in vessel
Correct Answer
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 . Since the pressure is uniform across the same height and density of the liquid, the forces and 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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