Bernoulli's TheoremHardQuestion 30935
Question
Water flows from a wide pipe (area 8 cm², velocity 2 m/s, pressure 3×10⁵ Pa) to a narrow horizontal pipe (area 2 cm²). Pressure in narrow pipe is:
- A2.7×10⁵ PaCorrect
- B3×10⁵ Pa
- C3.3×10⁵ Pa
- D2.4×10⁵ Pa
Correct answer
2.7×10⁵ Pa
Explanation
By continuity: v₂ = 8×2/2 = 8 m/s. Bernoulli: P₁+½ρv₁² = P₂+½ρv₂². P₂ = 3×10⁵ + ½×1000×(4−64) = 3×10⁵−3×10⁴ = 2.7×10⁵ Pa.