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.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter14: Vibrations And Waves

Section: Chapter Questions

Problem 53A

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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 Vpand Vgbeing the same .4)Draw a typical dispersion relation curve (ω-k curve) for Vp= Vgand Vp≠ Vgcases.
Inferences: 1) Are the wave patterns for various values of Ao and Ak same? If not, why? 2) Comment on the Phase velocity (Vp) of the waves for increased values of Ao and Ak. 3) When do we see Vp and Vg being the same. 4) Draw a typical dispersion relation curve (o-k curve) for V, = Vg and Vp # Vg cases.
1) Are the wave patterns for various values of Am and Ak same? If not, why? 2) Comment on the Phase velocity (Vp) of the waves for increased values of Ao and Ak. 3) When do we see Vp and Vg being the same. 4) Draw a typical dispersion relation curve (o-k curve) for Vp = Vg and Vp + Vg cases.