Pipe A, which is 1.20m long and open at both ends, oscillatesat its third lowest harmonic frequency. It is filled with air forwhich the speed of sound

smileycellist2

smileycellist2

Answered question

2021-01-27

Pipe A, which is 1.20m long and open at both ends, oscillatesat its third lowest harmonic frequency. It is filled with air forwhich the speed of sound is 343m/s. Pipe B, which is closed at oneend, oscillates at its second lowest harmonic frequency. Thisfrequency of B happens to match the frequency of A. An x axisextends along the interior of A, with x=0 at oneend. (a) How many nodes are along that axis? What arethe (b) smallest and (c) second smallest value of xlocating those nodes.
Any help will be appreciated. I can normally understand thesequestions but I have no idea where to begin for this one.

Answer & Explanation

liannemdh

liannemdh

Skilled2021-01-28Added 106 answers

pipe:A
at both ends,
λ=2L3=2(1.2)3=0.8m
a) there are 3 nodes along the x- axis
b) smallest value of x locating these nodes==0.8/ 4 =0.2
c) second smallest value of x locating these nodes: =0.6
hope it helps..

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