Question

Third overtone of a closed organ pipe is in unison with fourth harmonic of an open organ pipi . Find the ratio of the lengths of the pipes.

Answer 1

Answer:

Answer :

C

Solution :

Third overtone of closed organ pipe means seventh harmonic. Given

(f7)closed=(f4)open

7(ν4IC)=4(ν2I0)

lCl0=78

Explanation:

Answer 2

Hence the ratio between the lengths of the closed and open pipes is 7/8.

Explanation:

We are given that:

Third overtone of closed organ pipe means seventh harmonic.

(f7) closed = (f4 )open

7 (ν4I Closed) = 4(ν2I open)

Now the ratio between the lengths of the closed and open pipes is

lC / l0 = 7 / 8

Hence the ratio between the lengths of the closed and open pipes is 7/8.