Find the greatest length of an organ pipe open at both ends that will have its fundamental frequency in the range (40−20000Hz) [Assume, speed of sound in air = 340ms−1]
A
8.5cm
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B
4.25cm
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C
4.5cm
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D
2.25cm
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Solution
The correct option is B4.25cm Modes of vibration of air column in an open organ pipe is given by fn=nv2L
For maximum wavelength, the frequency is minimum.
Hence, f1=v2L
Given, minimum frequency is f1=40Hz
From the data given in the question, 40=3402L ⇒L=34080=4.25cm