Apipe open at both ends has a fundamental frequency of 220 hz when the temperature is 0°c. (a) what is the length of the pipe? (b) what is the fundamental frequency at a temperature of 30°c?

Explanation:

It is given that,

Fundamental frequency, f = 220 Hz

(a) We know that at 0 degrees, the speed of sound in air is 331 m/s.

For open pipe,

l is the length of pipe

Also,

(b) Let f' is the fundamental frequency of the pipe at 30 degrees and v' is its speed.

v' = 348.71 m/s

So,

f' = 232.4 Hz

Hence, this is the required solution.

284.4 Hz

Explanation:

At speed of sound is 331 m/s

and we know

------

L=0.613 m

where velocity of sound at

v=348.7 m/s

for  frequency

f=284.4 Hz

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