The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is:

Question

Aicharya · Accepted Answer

Fundamental frequency of open pipe is given by, $f_{o p e n} = \frac{v}{2 l}$ .

Fundamental frequency of closed pipe is given by,

$f_{c l o s e d} = \frac{v}{4 l}$ .

Therefore,

$\frac{f_{o p e n}}{f_{c l o s e d}} = \frac{v}{2 l} \times \frac{4 l}{v} \Rightarrow f_{o p e n} : f_{c l o s e d} = 2 : 1$

.

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the…