A stationary wave on a string is represented by y = 2A sin(kx) cos(ωt). At which positions are the nodes located?
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Question

A stationary wave on a string is represented by y = 2A sin(kx) cos(ωt). At which positions are the nodes located?

G1 Physics · Accepted Answer

Nodes occur where the position-dependent amplitude is zero: sin(kx) = 0. Hence, kx = nπ. Using k = 2π/λ, x = nπ/(2π/λ) = nλ/2. Correct option: B.