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Q9.15: NCERT Physics - Part 2 MECHANICAL PROPERTIES OF FLUIDS 9.15 Solution: Figures 9.20(a) and (b) refer to the steady flow of a…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume a higher liquid level means higher pressure, but in a flowing fluid Bernoulli’s equation shows $p+ frac12 ho v^2$ is constant. Thus where the cross‑section is smaller and $v$ is larger, the static pressure $p$ must be lower, so the fluid level should be lower—not higher—at the constriction. Avoid equating height with pressure in a moving fluid.

Figures 9.20(a) and (b) refer to the steady flow of a (non-viscous) liquid. Which of the two figures is incorrect? Why?

Step-by-Step Verified Solution

**Answer:** Figure (a) is incorrect. **Step-by-Step Explanation:** By the equation of continuity, where the area is smaller, the velocity is larger. By Bernoulli's principle, where velocity is larger, pressure is smaller. In figure (a), the liquid level in the tube at the constriction is higher, indicating higher pressure where velocity should be higher (and pressure lower). This violates Bernoulli's principle. Hence, (a) is incorrect.

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