Wave motionHardBloom L3
Question
A narrow steel rod of length ‘L’ is rigidly clamped at its mid-point and transverse standing waves of frequency ‘f’ are set up in it. The speed of transverse waves in the rod is ‘c’. Then
Options
A.The free ends of the rod must be Antinodes
B.The fundamental frequency ‘f’ of the rod is c/(L)
C.The second overtone frequency of the rod is 5c/(2L)
D.‘f’ can be any integral multiple of the fundamental frequency
Solution
Sol. λ = $\frac{C}{f}$
(B) For fundamental freq., L = $\frac{\lambda}{2}$
⇒ f0 = $\frac{C}{\lambda} = \frac{C}{2L}$
(C) For second overtone
⇒ f = $\frac{C}{\lambda} = \frac{5C}{2L}$
(D) As we can observe from figure above,
Only odd harmonic can be present.
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