For the stationary wave y = 2A sin(kx) cos(ωt), at which positions are the displacement antinodes located?
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Question

For the stationary wave y = 2A sin(kx) cos(ωt), at which positions are the displacement antinodes located?

G1 Physics · Accepted Answer

Antinodes occur where the magnitude of the position-dependent factor is maximum: |sin(kx)| = 1. Thus, kx = (2n+1)π/2. Using k = 2π/λ, x = (2n+1)λ/4. Correct option: B.