Question 442: Waves

Question

The second overtone of an open organ pipe has the same frquency as the first overtone of a closed pipe L metre long. The length of the open pipe will  be

Accepted Answer

Second overtone of an open organ pipe
(Third harmonic)  $$ = 3 	imes v{'_0} = 3 	imes {v \over {2L'}}$$
First overtone of a closed organ pipe
(Third harmonic) $$ = 3 	imes {v_0} = 3 	imes {v \over {4L}}$$
According to question,
$$3v{'_0} = 3{v_0} \Rightarrow 3 	imes {v \over {2L'}} = 3 	imes {v \over {4L}}$$
$$ 	herefore $$ L' = 2L

Answer

L

Answer

2L

Answer

$${L \over 2}$$

Answer

4L

Waves

The second overtone of an open organ pipe has the same frquency as the first overtone of a closed pipe L metre long. The length of the open pipe will be

Choose the correct answer: