Problem 14.86 Part A A friend in another city tells you that she has two organ p
ID: 1473924 • Letter: P
Question
Problem 14.86
Part A
A friend in another city tells you that she has two organ pipes of different lengths, one open at both ends, the other open at one end only. In addition, she has determined that the beat frequency caused by the second-lowest frequency of each pipe is equal to the beat frequency caused by the third-lowest frequency of each pipe. Her challenge to you is to calculate the length of the organ pipe that is open at both ends, given that the length of the other pipe is 1.10 m .
L = ?m
I have tried ...
1.1
1.24
1.23
And none of those have been the right answer!
Help
Thanks!!
Explanation / Answer
one open at both ends:
wavelength = 4L/n, n= 1,3,5,...
frequency, fn = nv/4L , n = 1,3,5,...
solve the question (1) as follows:
[3/4L1] - [1/L2] = [5/4L1] - [3/2L2]
L2 = L1 = 1.10 m
open at both ends:
wavelength = 2L/n , N = 1,2,3,...
frequency, f = nv/2L
solve the question (2) as follows:
[3/4L1] - [1/L2] = [3/2L2] - [5/4L1]
L2 = [5/4] L1 = 1.375 m