The fundamental frequency of a closed organ pipe is f. if both the ends are opened then its fundamental frequency will be:
Correct answer: C. 2f
- A. f
- B. 0.5 f
- C. 2f
- D. 4f
Explanation
There is a formula that relates the fundamental frequency of a closed organ pipe to its length. The formula is:f = v / (2L)Where:- f is the fundamental frequency- v is the speed of sound in the medium (air, in this case)- L is the length of the pipeIn the case of a closed organ pipe, when both ends are opened, the effective length of the pipe becomes twice the original length. So, if the original fundamental frequency is f, when both ends are opened, the new fundamental frequency will be 2f.
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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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