Two adjacent natural frequencies of an organ pipe are found to be 550. Hz and 650. Hz. (a) Calculate the fundamental fre - quency of the pipe. (b) Is the pipe open at both ends or open at only one end? (c) What is the length of the pipe?

a) 100Hz

b) opened at both ends

c) 1.72m

Explanation:

Let fun be the nth Harmonic frequency organ. If pipe is opened at both ends.

L = length of pipe

Fyn = (n/x)

550hz = (n/2L) v 1

650hz = (n+1/2L) * v 2

Comparing 1 and 2

650hz = nv/2L + v/2L

550 = 343/2L

L = 550*2/343 = 1.7m

c) fundamental frequency

Fo = nv/2L = 343 / (2*1.7) = 100Hz