A 2m long pipe is open at both ends. What is its harmonic frequency?
Correct answer: B. 85 Hz
- A. 42.5 Hz
- B. 85 Hz
- C. 220 Hz
- D. None of these
Explanation
The speed of the sound is = 340m/sIn an open pipe , the length of the pipe contains half a wavelength which means L= λ/2.Using the universal wave equation ,v=fλf=v/λWhere λ = 2L, where L = λ/2When harmonies are involved, 'n' is used to distinguish between speed.f=vn/2LWhere L is 2mf=340 x 1 / 2 x 2F=85Hz
This question appeared on the UHS MDCAT 2008 paper, which you can sit online with every answer explained.
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About Organ Pipes
Organ pipes produce standing sound waves in air columns, with resonance determined by whether each end is open or closed. The topic covers nodes, antinodes, fundamental frequency, harmonics, wavelength and end correction. Open pipes support all harmonics, while closed pipes support only odd harmonics under the ideal model.
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