Q. 355.0( 3 Votes )

In the given prog

Answer :

Equation for a progressive wave y = 5sin(100πt-0.4πx)


Comparing the equation with the general displacement equation for a progressive wave,



we have


(a) Amplitude A = 5 m


(b) k = 0.4π. k is given by the relation



where λ is the wavelength. Therefore for k = 0.4π we have



(c) The angular frequency ω = 100π. The angular frequency is given by,



where f is the frequency of the wave.



(d) The wave velocity is given by the relation,



(e) Differentiating the given equation with respect to t we get the equation for particle velocity, i.e.



Therefore, the amplitude particle velocity is given by



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