A cylindrical tube, open at both ends, has a fundamental frequency 'f' in air. The tube is vertically dipped in water so that half of it is in water. The fundamental frequency of the air column is:
Correct answer: C. f
- A. f/2
- B. 3f/4
- C. f
- D. 2f
Explanation
Dipping may change effective length slightly, but if air column length that supports standing wave remains unchanged for described configuration, fundamental frequency remains essentially f. Frequency depends on effective resonant length and wave speed, which are unchanged here.
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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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