A cylindrical tube, open at both ends has a fundamental frequency f in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of air column is now:
Correct answer: C. f
- A. f/2
- B. 3f/4
- C. f
- D. 2f
Explanation
Explanation is given below. The correct answer is C) f. When the cylindrical tube is dipped in water so that half of it is submerged, the fundamental frequency of the air column remains unchanged. This is because the fundamental frequency depends on the length of the air column and the speed of sound in the air, both of which remain the same as long as the tube's length and the properties of the air remain constant. The water does not affect the fundamental frequency of the air column in this scenario.
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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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