A stationary wave setup in a pipe closed at one end, only odd harmonics are generated, which are given by the equation:
Correct answer: A. fn = (n*v)/(4*l) where n = 1,3,5,...
- A. fn = (n*v)/(4*l) where n = 1,3,5,...
- B. fn = (n+v)/(4+l) where n = 1,3,5,...
- C. fn = (n*v)/(4+l) where n = 1,2,3,4,5,...
- D. fn = (n*v)/(4*l) where n = 1,2,3,4,5,...
Explanation
Correct Option: A When a stationary wave is set up in a pipe closed at one end, only odd harmonics are generated. The equation for the frequencies of these odd harmonics is given by fn = (nv)/(4x1), where n represents the harmonic number (1, 3, 5, ...) and v represents the speed of sound in the medium.
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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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