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Two harmonic waves travel simultaneously along a long wire. Their wave functions are y1 = 0.002cos (8.0x - 400t) and y2 =0.002cos (7.6x - 380t), where y and x are in meters and t in seconds.
(a) Write the wave function for the resultant wave in form of Equation 5-15.y(x, t) = A cos (Bx - Ct) cos (Dx - Et)
(b) What is the phase velocity of the resultant wave?
(c) What is the group velocity?
(d) Calculate the range Δx between successive zeros of the group. Relate Δx to Δk.
Since the effective mass of electrons in a conduction band decreases with increasing curvature of the band according to eq. (3-3), comment on the electron effective mass in the Valley of GaAs compared with the indirect X or L valley.
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