1) Are the wave patterns for various values of Δω and Δk same? If not, why? 2) Comment on the Phase velocity (Vp) of the waves for increased values of Δω and Δk. 3) When do we see Vp and Vg being the same. 4) Draw a typical dispersion relation curve (ω-k curve) for Vp = Vg and Vp ≠ Vg cases.

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Chapter18: Superposition And Standing Waves
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Problem 18.12OQ: Assume two identical sinusoidal waves are moving through the same medium in the same direction....
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1) Are the wave patterns for various values of Δω and Δk same? If not, why?
2) Comment on the Phase velocity (Vp) of the waves for increased values of Δω and Δk.
3) When do we see Vp and Vg being the same.
4) Draw a typical dispersion relation curve (ω-k curve) for Vp = Vg and Vp ≠ Vg cases.

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