A trumpet plays its fundamental frequency of 440Hz. Anothertrumpet whose lenght

Question

A trumpet plays its fundamental frequency of 440Hz. Anothertrumpet whose lenght is twice the original plays its secondharmonis frequency. What is the difference between the twofrequencies being played by these trumpets? Model the trumpets assimple closed-open tubes. A trumpet plays its fundamental frequency of 440Hz. Anothertrumpet whose lenght is twice the original plays its secondharmonis frequency. What is the difference between the twofrequencies being played by these trumpets? Model the trumpets assimple closed-open tubes.

Explanation / Answer

we know f 1 / L        ( f ' / f ) = ( L / L ') given L ' = 2L So, f ' / f = ( 1/ 2)            f' = 0.5 f Given fundamental frequecy of trumpet f = 440 Hz So,fundametal frequency of 2 nd one f ' = 220 Hz second harmonic frequency of the 2 nd one F = 3 f ' =660 Hz So, differecne in frequencies = F - f = 220 Hz

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