A 200 cm organ pipe with one end open is in resonance with a sound wave of wavelength 270 cm. The pipe is operating in its:
Correct answer: B. Third harmonic
- A. Fundamental frequency
- B. Third harmonic
- C. Second harmonic
- D. Fourth harmonic
Explanation
Option B is correct.Yes, a 200 cm organ pipe with one end open which means that it is closed at other end and is in resonance with a sound wave of wavelength 270 cm when it is operating in its third harmonic. The third harmonic of an organ pipe is the third overtone, which means that it has three loops of the standing wave. In closed pipe old harmonics are present. The fundamental frequency of an organ pipe is given by the following formula: F=v/2L
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About Waves
Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
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