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.
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.
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
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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