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In a U‑tube manometer, the left arm contains a 3 cm column of water higher than the right arm. What is the pressure difference between the two sides in pascals? Assume density of water = 1000 kg/m³ and g = 9.8 m/s².

hard 3 marks Class 6 · Science · Air Around Us
Answer
294 Pa

The correct answer is 294 Pa — Thus the pressure difference is 294 Pa.

Step-by-step solution

  1. Convert height difference to metres: 3 cm = 0.03 m.
  2. Use ρgh to find pressure difference: ρ = 1000 kg/m³, g = 9.8 m/s², h = 0.03 m.
  3. Compute: 1000 × 9.8 × 0.03 = 294 Pa.
  4. Thus the pressure difference is 294 Pa.
Common mistake: Using g = 10 m/s² or forgetting to convert centimetres to metres

Concept tested: Pressure difference using fluid column

Published · How this solution was prepared and checked

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