Long answer·Hard exam skill (4/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

Water flows horizontally through a venturi tube. The broad section has area 6.0×104 m26.0\times10^{-4}\text{ m}^2 and the narrow section has area 2.0×104 m22.0\times10^{-4}\text{ m}^2. The volume flow rate is 1.2×103 m3 s11.2\times10^{-3}\text{ m}^3\text{ s}^{-1}. Take ρ=1000 kg m3\rho=1000\text{ kg m}^{-3}.
Total: 4 marks

(a) Find the speed in the broad section. (1 mark)

(b) Find the speed in the narrow section. (1 mark)

(c) Find the pressure difference between the two sections. (2 marks)

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cbse-physics-11.u7.t7-3.laq.003

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