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Properties of waves

For each of the following wave functions:

Ψ1 = cos [π (3 x - 4 t)]
Ψ2 = Ψ0 sin [ 0.3x + 0.6 π t]

Determine the value and give units of frequency, angular frequency, wavelength, period, and amplitude. Assume x in expressed in meters and t in seconds.


Solution Preview

Write the wavefunctions in the following standard form:

Psi = Psi_0 Sin(k x - omega t + phi)


Psi = Psi_0 Sin(k x + omega t + phi)

The first expression represents a wave moving in the positive x direction, while the second form ...

Solution Summary

A detailed solution is given.