IB Physics SL C.4.3 Strings & pipes
Practise harmonic calculations for strings and pipes by linking the standing-wave pattern to wavelength, length, and frequency.
- Syllabus
- First assessment 2025
- Objective
- —
- Level
- SL
Practise harmonic calculations for strings and pipes by linking the standing-wave pattern to wavelength, length, and frequency.
A loudspeaker emits sound of frequency 210 Hz into a pipe with one open and one closed end. The diagram shows a representation of the standing wave established in the pipe.

Determine the wavelength of the wave.
λ=⋖34L=34×1.20=>1.6<m≫
[1]
The frequency of sound is reduced to 140 Hz . Explain why a standing wave will not be formed in the pipe.
ALTERNATE 1
the pipe can only support standing waves with frequencies that are odd multiples of the first harmonic frequency
[2]
□
□
□ first harmonic frequency is 70 Hz
ALTERNATE 2
<<the new wavelength would be 2.4 m so>> a node would be formed at the open