An organ pipe closed at one end has a length of 25 cm. Wavelength of the fundamental note is:
Correct answer: C. 100 cm
- A. 25 cm
- B. 50 cm
- C. 100 cm
- D. 75 cm
Explanation
The fundamental wavelength for an organ pipe closed at one end is given by the formula λ = 4L/n, where L is the length of the pipe and n is the harmonic number. For the fundamental note, n = 1. Given that the pipe's length is 25 cm, the wavelength is calculated as λ = 4 × 25/1 = 100 cm. Therefore, the correct answer is C) 100 cm. Option A is incorrect as it merely states the length of the pipe. Option B is incorrect because it applies to a pipe open at both ends. Option D does not align with the formula for this scenario.
This question appeared on the UHS MDCAT 2010 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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