THE PRACTICE STUDIO

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PRACTICEIntermediate · Single correct

PRACTICE / Open and closed pipes

A pipe open at both ends

A uniform pipe 0.85 m long is open at both ends.

Find its fundamental resonance frequency.

Organize the givens & assumptions
  • L = 0.85 m
  • v = 340 m/s

Uniform pipe open at both ends; sound speed 340 m/s; neglect end corrections.

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Problem: A pipe open at both ends
A uniform pipe 0.85 m long is open at both ends.
Question: Find its fundamental resonance frequency.
Givens:
- L = 0.85 m
- v = 340 m/s
Assumptions: Uniform pipe open at both ends; sound speed 340 m/s; neglect end corrections.
Choices (LaTeX):
A. 340\ \mathrm{Hz}
B. 200\ \mathrm{Hz}
C. 100\ \mathrm{Hz}
D. 400\ \mathrm{Hz}

Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.

Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.
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