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.
Create a free account to view solution
View Solution FreeMore Wave motion Questions
The figure below shows a snap photograph of a simple harmonic progressive wave, progressing in the negative X-axis, at a...Transverse wave of some frequency are generated in two steel wires A and B the diameter of A is twice of B and the tensi...Following are equations of four waves :(i) 1 = a sin ω (ii) y2 = a cos ω(iii) z1 = a sin ω (iv) z2 = a co...A sine wave has an amplitude A and waelength λ Let V be wave velocity and v be the maximum velocity of a particle i...A metal wire of linear mass density of 9.8 gm is stretched with a tension of 10 kg-wt between two rigid supports 1 metre...