AIIMS2019Physics-Fluid Mechanics

AIIMS 2019 Physics Pressure in Fluids MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A container of height 10 cm is filled with water. There is a hole at bottom. Find the pressure difference between points A & B:

A

1000 Pa

B

zero

C

1 Pa

Correct Answer

Option A

Detailed Explanation

The pressure difference between points A and B in a container filled with water (H₂O) is determined by the hydrostatic pressure formula, ΔP = ρgh, where ρ is the density of water (approximately 1000 kg/m³), g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the height of the water column (10 cm or 0.1 m). Thus, ΔP = 1000 kg/m³ × 9.81 m/s² × 0.1 m = 981 Pa, which rounds to approximately 1000 Pa, making option A correct.

Option B is incorrect because there is a pressure difference due to the height of the water column, while options C and D do not accurately reflect the calculated pressure difference or are not applicable to the scenario presented.

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