Ratio of third mode frequencies for closed pipe to open pipe.
As we know that,
Concepts of :
Open organ pipe (One end open).
Fundamental frequency : fₙ = (nv/2l).
Closed organ pipe (One end closed).
Fundamental frequency : fₙ = (nv/4l).
Using this concepts in this question, we get.
Third mode frequencies for open organ pipe.
⇒ f₃ = (3v/2l).
Third mode frequencies for closed organ pipe.
⇒ f₃ = (3v/4l).
To find : Ratio of third mode frequencies for closed pipe to open pipe.
(Ratio of closed organ pipe)/(Ratio of open organ pipe).
⇒ [(3v/4l)]/[(3v/2l)].
⇒ (3v/4l) x (2l/3v).
⇒ (2/4).
⇒ (1/2).
Ratio of third mode frequencies for closed pipe to open pipe.
As we know that,
Concepts of :
Open organ pipe (One end open).
Fundamental frequency : fₙ = (nv/2l).
Closed organ pipe (One end closed).
Fundamental frequency : fₙ = (nv/4l).
Using this concepts in this question, we get.
Third mode frequencies for open organ pipe.
⇒ f₃ = (3v/2l).
Third mode frequencies for closed organ pipe.
⇒ f₃ = (3v/4l).
To find : Ratio of third mode frequencies for closed pipe to open pipe.
(Ratio of closed organ pipe)/(Ratio of open organ pipe).
⇒ [(3v/4l)]/[(3v/2l)].
⇒ (3v/4l) x (2l/3v).
⇒ (2/4).
⇒ (1/2).