20.4.6 Evaluate the solution 6 Evaluate the .A shepherd blows on the end of a bo

Question

20.4.6 Evaluate the solution 6 Evaluate the .A shepherd blows on the end of a bone pipe (it is considered closed at onc end The problem.: A she and open at the other) that is 0.30 m long 1: tother) that is 0.30 m long. She can play the first harmonic by blowing genty and harmonics by blowing harder. Determine the frequencies of these first thre hamsatics. higher Proposed solution: Thes about 340 m/s. Thus lution: The speed of sound in the solid bone material is about 3000 mls and in air is m/s. Thus, the first three harmonic frequencies are: fi = v/2L = (3000 m/s)/[2(0.30 mil=500Hz = 2v/2L = 2( 3000 m/s)/[2(0.30 m)] = 10,000 = 3v/2L = 3( 3000 m/s )/[2(0.30 m)] = 15,000 Hz a. Identify any errors in the solution to the problem. b. Provide a corrected solution if there are errors.

Explanation / Answer

Since it is considered as a closed organ pipe i.e. close at one end and open at other therefore the harmonic frequency will be = (2n+1)V/4L
so by putting n=0 we have V/4L
on putting n=1 we have 3V/4L
on putting n= 2 we have 5V/4L
(a) above given equation of harmonic are according to open organ pipe therefore thay are wrong.
(b) Above provided equation are correct.

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