The displacement y is expressed as a function of x and t in terms of the wave numberk and the angular frequency. write the equivalent equations in which y is shown as a function of x in terms of (a) kand v, (b) 1 and v(c) and fand (d) f and v.

Explanation:

The displacement equation is given by :

(a)

Since,

The above equation is in terms of k and v.

(b)

(c)

(d)

Where

k is the propagation constant

v is the speed of wave

f is the frequency of a wave

is the wavelength

Hence, this is the required solution.

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