Question

An organ pipe is 114 cm long. What is the third audible harmonic if the pipe is open at both ends? The speed of sound in air is 337 m/s.

Answer #1

If **both** ends
of the tube are uncovered or open, the musical instrument is said
to contain an **open-end air column.**

Antinodes are present at the open end of the air column. In
third harmonic there will will be **4 antinodes and 3
nodes**. In the pattern that there are
**one and one-half waves** present in the length of
the air column. One and one-half waves is three times the number of
waves that were present in the first harmonic. For this reason, the
frequency of the third harmonic is **three times the
frequency of the first harmonic**.

Given is:-

length of the pipe = 114 cm or 1.14 m

the speed of the sound is = 337m/s

Thus

wavelength

Now frequency is

Hence the frequency of the third harmonic in the given open air cylinder is 447.36 Hertzs

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