A Levels Physics (9702)•9702/13/M/J/20

Explanation
Resonance in a closed tube with adjusted length
Steps:
- Initial setup: Tube acts as closed pipe at water surface; first resonance at fundamental frequency where length L = λ/4.
- Frequency fixed after first resonance; louder sound indicates standing wave with node at water (closed end) and antinode at open end.
- Water removal increases effective length L' to satisfy next resonance at same frequency: L' = 3λ/4.
- New standing wave spans three quarter-wavelengths, with node at new water position and antinode at tube top.
Why C is correct:
- Depicts 3λ/4 pattern with node at closed end (water) and two additional nodes/antinodes fitting closed-pipe overtone.
Why the others are wrong:
- A: Shows λ/4 fundamental, unchanged from initial setup.
- B: Indicates open-pipe pattern (λ/2), mismatched for closed end.
- D: Displays higher harmonic (5λ/4) or incorrect node placement.
Final answer: C
Topic: Stationary waves
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