An organ pipe is open at both ends at its fundamental frequency. Neglecting any end effects, what wavelength is formed by this pipe in this mode of vibration, if the pipe is two meter long?
Correct answer: B. 4m
- A. 2m
- B. 4m
- C. 6m
- D. 8m
Explanation
For an open pipe at both ends, the fundamental frequency is given by: f = v/2LWhere v is the speed of sound and L is the length of the pipe.We can rearrange this equation to solve for the wavelength (λ): λ = 2LSubstituting the given value of L = 2m, we get: λ = 2 (2) = 4mTherefore, the wavelength formed by this pipe in its fundamental frequency is 4m.
This question appeared on the ETEA MDCAT 2013 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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