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NEET PHYSICSMechanical Properties of FluidEasy

Question

The pressure experienced by a swimmer 20 m20 \text{ m} below the water surface in a lake is appropriately: (Given density of water = 103 kg m310^3 \text{ kg m}^{-3}, g=10 m s2g=10 \text{ m s}^{-2} and 1 atm=105 Pa1 \text{ atm} = 10^5 \text{ Pa})

A

1 atm1 \text{ atm}

B

2 atm2 \text{ atm}

C

3 atm3 \text{ atm}

D

4 atm4 \text{ atm}

Step-by-Step Solution

The total (absolute) pressure experienced by the swimmer is the sum of the atmospheric pressure acting on the surface and the gauge pressure due to the water column above.

  1. Formula: Ptotal=Patm+ρghP_{total} = P_{atm} + \rho g h
  2. Calculate Gauge Pressure (PgaugeP_{gauge}): Pgauge=ρghP_{gauge} = \rho g h Substituting the given values: ρ=103 kg m3\rho = 10^3 \text{ kg m}^{-3}, g=10 m s2g = 10 \text{ m s}^{-2}, h=20 mh = 20 \text{ m}. Pgauge=103×10×20=2×105 PaP_{gauge} = 10^3 \times 10 \times 20 = 2 \times 10^5 \text{ Pa}
  3. Convert to Atmospheres: Given 1 atm=105 Pa1 \text{ atm} = 10^5 \text{ Pa}. Pgauge=2×105105 atm=2 atmP_{gauge} = \frac{2 \times 10^5}{10^5} \text{ atm} = 2 \text{ atm}
  4. Calculate Total Pressure: Ptotal=1 atm(atmospheric)+2 atm(due to depth)=3 atmP_{total} = 1 \text{ atm} (\text{atmospheric}) + 2 \text{ atm} (\text{due to depth}) = 3 \text{ atm}

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from Mechanical Properties of Fluid. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSMechanical Properties of Fluidpressureexperiencedswimmersurfaceappropriately

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