Longitudinal standing wave, in second harmonic mode, is established in a tube that is open at both ends. The length of the tube is 0.8m. What is the wavelength of the waves that make up the standing wave?
Correct answer: C. 0.80m
- A. 0.20m
- B. 0.40m
- C. 0.80m
- D. 1.60m
Explanation
In a tube that is open at both ends, the fundamental frequency (first harmonic) of a longitudinal standing wave corresponds to a wavelength that is twice the length of the tube. Therefore, for the second harmonic, the wavelength will be equal to the length of the tube.this option is incorrect. Given that the length of the tube is 0.8m, the wavelength of the waves that make up the standing wave will also be 0.8m.Therefore, the correct answer is C) 0.80m.
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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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