Find the fundamental frequency and the next three frequencies that could cause a standing-wave pattern on a string that is 30.0 m long, has a mass per unit length of 9.00×10−3kg/m and is stretched to a tension of 20.0 N.
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Solution
Fundamental frequency of the standing wave pattern formed on the string is given by f=12l√Tμ
=12×30√209×10−3=0.786Hz
nth order harmonics are given by n2l√Tμ
Thus the respective harmonics are obtained for n=2,3,4