Lec-21 - Previous lecture Wave Equation 2 2 1 D D - 2 2 =0...

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Previous lecture Wave Equation 2 D ∂x 2 - 1 v 2 2 D ∂t 2 =0 Travelling and standing waves Formulas: v = fλ, ω =2 πf, k =2 π/λ D ( x, t )=s in( kx - ωt + φ )
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Today A word about the wave equation Superposition Beats and Beat Frequency Demonstrations Interference Reflection of waves – p.
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Wave Equation vs. F = ma 2 D ∂x 2 - 1 v 2 2 D ∂t 2 =0 Displacement D depends on x and t . Solution D ( x, t ) . m d 2 x dt 2 = F Particle’s location x depends on t and changes according to a known force. Solution is x ( t ) . – p.
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Superposition : Two waves add up to make a composite wave. Beats : The superposition of two waves of slightly different frequencies exhibits alternating periods of constructive and destructive interference. Interference is what happens when two waves are added together. It is constructive if the two waves reinforce each other and destructive if the two waves cancel out. – p.
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Lec-21 - Previous lecture Wave Equation 2 2 1 D D - 2 2 =0...

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