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A Levels Physics (9702)•9702/11/O/N/21
Question 14 from 9702/11/O/N/21

Explanation

Hydrostatic Pressure at Depth

Steps:

  • Total pressure P = atmospheric pressure + ρ g h, where ρ is density, g is gravity (9.8 m/s²), h is depth.
  • Use ρ = 1000 kg/m³ for water (correcting given g/m³ unit to standard SI kg/m³).
  • Calculate hydrostatic pressure: 1000 × 9.8 × 1.0 = 9800 Pa = 9.8 kPa.
  • Add to atmospheric: 101 kPa + 9.8 kPa = 110.8 kPa.

Why D is correct:

  • D matches the total absolute pressure using the hydrostatic formula for incompressible fluid.

Why the others are wrong:

  • A: Gauge pressure only with incorrect g or h (e.g., g=17.4 m/s²).
  • B: Atmospheric minus approximate gauge pressure (101 - 14.7 ≈ 86.3).
  • C: Atmospheric plus negligible addition, ignoring proper ρ.

Final answer: D

Topic: Density and pressure

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