A) \[58\,m{{s}^{-1}}\]
B) \[580\,m{{s}^{-1}}\]
C) \[20\,m{{s}^{-1}}\]
D) \[116\,m{{s}^{-1}}\]
Correct Answer: D
Solution :
Key Idea: Distance between nearest crests is equal to the wavelength. In case of transverse wave, wavelength is the distance between two consecutive crests or throughs. The relation between velocity \[(v),\] frequency \[(n)\] and wavelength \[(\lambda )\] is \[v=n\lambda \] Given, \[n=580\,Hz,\,\lambda =20\,cm=20\times {{10}^{-2}}m\] \[\therefore \] \[v=580\times 20\times {{10}^{-2}}=116\,m/s\] Note: In case of longitudinal wave, wavelength is the distance between two successive compressions or rarefactions.
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