Question

A dosed organ pipe is vibrating in first overtone and is in resonance with another open
ongan pipe vibrating in third harmonic. The ratio of lengths of the pipes respectively is.​

Answer 1

Answer:

First overtone in closed pipe 3ν

c

=

4L

1

3ν

Third harmonic of open pipe 3ν

o

=

2L

2

3ν

Now, according to problem

3ν

c

=3ν

o

4L

1

3ν

=

2L

2

3ν

L

2

L

1

=

4

2

=

2

1

.