Sound WavesHard

Question

A wave travelling along the x-axis is described by the equation y(x, t) = 0.005 cos (αx - βt). If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then α and β in appropriate units are

Options

A.α = 25.00 π, β = π
B.
C.
D.α = 12.50 π,  

Solution

y = 0.005 cos (αx - βt)
comparing the equation with the standard form,
y = A cos
2π/λ = α and 2π/T = β
α = 2π/0.08 = 25.00π
β = π

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