Find the phase velocity and group velocity for the following two wave-forms (x and t are measured in SI units) (i) i(r,t) = cos(4t – 2.x) + cos(8t – 4r). (ii) 2(x, t) = cos(8t - 6r) + cos (4t- 4.x). Does these waveforms satisfy the wave equation - = 0 where v is a constant independent of frequency. Explain.
Find the phase velocity and group velocity for the following two wave-forms (x and t are measured in SI units) (i) i(r,t) = cos(4t – 2.x) + cos(8t – 4r). (ii) 2(x, t) = cos(8t - 6r) + cos (4t- 4.x). Does these waveforms satisfy the wave equation - = 0 where v is a constant independent of frequency. Explain.
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Transcribed Image Text:Find the phase velocity and group velocity for the following two wave-forms
(x and t are measured in SI units)
(i) 1(x,t) = cos(4t - 2x) + cos(8t- 4.r).
(ii) 2(x,t)
Does these waveforms satisfy the wave equation
%3D
= cos(8t- 6a) + cos (4t – 4.x).
%3D
v² Ət?
where v is a constant independent of frequency. Explain.
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