Practice question
Question
Water flows at 3m/s at 2m height with pressure 1.3×105Pa. What is the pressure at 0m height with speed 4m/s? (ρ\=1000kg/m3, g\=10m/s2)
Explanation
Bernoulli’s: P1+12ρv12+ρgh1 = P2+12ρv22+ρgh2. Left: 1.3×105+12×1000×9+1000×10×2 = 1.3×105+4500+20000 = 1.545×105. Right: P2+12×1000×16 = P2+8000. 1.545×105 = P2+8000, P2 = 1.465×105Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.465 × 10⁵ Pa. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.