Question: Two harmonic waves travel simultaneously along a long wire. Their wave functions are y 1 = 0.002cos (8.0x - 400t) and y 2 = 0.002cos

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 the form of Equation 5-15.

(b) What is the phase velocity of the resultant wave?

(d) Calculate the range Δx between successive zeros of the group and relate it to Δk.

cos (14kx - = -Awt) cos y(x,t) = 2y cos( Awt) cos(kx

cos (14kx - = -Awt) cos y(x,t) = 2y cos( Awt) cos(kx - wt) 5-15

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