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

Question

A closed organ pipe is vibrating in first overtone and is in resonance with another open organ pipe vibrating in third harmonic. The ratio of lengths of the pipes respectively is (A) 1: 2 (B) 4: 1 (C) 8: 3 (D) 3: 8

Tardigrade Admin · Accepted Answer

nclosed = nopen (3V/4lc) = (3V/2l0)

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

1 : 2

4 : 1

8 : 3

3 : 8

$n_{c l ose d} = n_{o p e n}$
$\frac{3 V}{4 l _{c}} = \frac{3 V}{2 l _{0}}$

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

1 : 2

4 : 1

8 : 3

3 : 8

nclosed​=nopen​ 4lc​3V​=2l0​3V​

$n_{c l ose d} = n_{o p e n}$
$\frac{3 V}{4 l _{c}} = \frac{3 V}{2 l _{0}}$