Sound WavesHard
Question
A clamped string is oscillating in nth harmonic, then : -
Options
A.Total energy of oscillations will be n2 times that of fundamental frequency
B.Total energy of oscillations will be (n - 1)2 times that of fundamental frequency
C.Average kinetic energy of the string over a complete oscillations is half of that the total energy of the string
D.None of these
Solution
Total energy
=
μω2A2 = 2π2fn2μA2 = 2π2n2 f21 μA2
(f1 = fundamental frequency)
fn = Frequency of nth harmonic
<KE> = <PE> =
=
μω2A2 = 2π2fn2μA2 = 2π2n2 f21 μA2(f1 = fundamental frequency)
fn = Frequency of nth harmonic
<KE> = <PE> =
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