Question

a open pipe and a closed pipe are in resonance with each other with their first overtones.find the ratio of their lengths?​

Answer 1

Answer:

the ratio between them are 4:3

Explanation:

First overtone in open pipe is 2ν

o

=

2L

1

2v

First overtone in closed pipe is 3ν

c

=

4L

2

3v

Now by problem:

2ν

o

=3ν

c

2L

1

2ν

=

4L

2

3ν

L

2

L =

3

4

Answer 2

Answer:

correct option is (C)

Explanation:

First overtone in open pipe is 2v0=2L12v

First overtone in closed pipe is 3νc=4L23v

Now by problem:2νo=3νc2L12ν=4L23νL2L =3:4