Q. 44

# Find the greatest length of an organ pipe open at both ends that will have its fundamental frequency in the normal hearing range (20—20,000 Hz). Speed of sound in air = 340 m s^{-1}.

Answer :

Given:

Speed of sound in air

We are considering a minimum fundamental frequency of ,

since, for maximum wavelength, the frequency is a minimum.

Length of organ pipe

We have:

We know that:

On substituting the respective values in the above equation, we get:

Length of the organ pipe is 8.5 m.

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