A progressive sinusoidal wave is described by y = 5×10⁻³ sin(4πx−20πt), with SI units. If the wavelength is N/2 metres, find N.
Physics · Wave Motion · general equation of wave
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Question

A progressive sinusoidal wave is described by y = 5×10⁻³ sin(4πx−20πt), with SI units. If the wavelength is N/2 metres, find N.

G1 Physics · Accepted Answer

The wave number is k = 4π rad/m. Therefore, λ = 2π/k = 2π/(4π) = 1/2 m. Thus, λ = N/2 m gives N = 1.