Question

The fundamental frequency of an open organ pipe is 300Hz. The frequency of the first overtone of another closed organ pipe is the same as the frequency of the first overtone of open pipe. What are the lengths of the pipes ? The speed of sound =330m/sec.​

Answer 1

Answer:

41.25

Explanation:

Given An open organ pipe has a fundamental frequency of 300 Hz. The first overtone of a closed organ pipe has the same frequency as the first overtone of the open pipe. Velocity of sound in air =330m/s. The length of the pipes are

Frequency is v/2L = 300 hz

So first overtone will be v/l = 600 hz

So frequency of 1st overtone of open pipe is equal to frequency of 1st overtone of closed pipe.

Speed of sound is 330 m/s

Now 3v/4l = 600

600 x 4l = 3v

4l = 3v/600

4l = 3v/600

l = 3 x 330/600 x 4

l = 33/80

l = 0.4125 m

l = 41.25 cm