A transverse wave is represented by y = 2 sin(ωt - kx) cm. Find the wavelength, in cm, for which the wave speed equals the maximum particle speed.
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Question

A transverse wave is represented by y = 2 sin(ωt − kx) cm. Find the wavelength, in cm, for which the wave speed equals the maximum particle speed.

G1 Physics · Accepted Answer

Step 1: Wave speed is v=ω/k. Maximum particle speed is uₘₐₓ=Aω with A=2 cm. Step 2: Set ω/k = Aω, giving k=1/A=0.5 cm⁻¹. Thus λ=2π/k=4π cm. Final: A.