Properties of waves
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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.
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A detailed solution is given. The properties of waves are discussed.
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Write the wavefunctions in the following standard form:
Psi = Psi_0 Sin(k x - omega t + phi)
or
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 ...
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