The time periodofparticles of a medium is 2 x 10−3s and the wave length of corresponding wave is 3m. Find the speed of the wave.
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Answer:Speed of wave in the string isv=
u
T
where T=tension and u = mass per length
So,
fundamental frequencyf=
2L
n
μ
T
where n is the number of harmonics.Number of overtones = (n-1)
Number of nodes = n+1
Number of antinodes = n
fundamental frequency= f=
2L
1
μ
T
Note fundamental wavelength does not change as Length of the string does not change.
Here, T and f varies, new T=1.21T and new f=f +15
so, f+15=1.1f
This gives f=150Hz
so, new velocity=1.1v, which means velocity increases by 10%.
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