Fundamental frequency of one open pipe is equal to third harmonic of closed pipe of length 20 cm. Find length of open pipe.

Fundamental frequency of one open pipe is equal to third harmonic of c

1.	Fundamental frequency of one open pipe is equal to third harmonic of closed pipe of length 20 cm. Find length of open pipe.
Answer» 16 cm `13.2` cm `12.5` cm 8 cm Solution :(i) For open pipe of length L, fundamental frequency is `(v)/(2L)""…(1)` (ii) For CLOSED pipe of length L., third harmonic is, `(3v)/(4L.)` As per the statement, `(v)/(2L) = (3v)/(4L.)` `therefore L = (2L.)/(3) = (2 xx 20)/(3) = 12.33 cm ~~13.2 cm`