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
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α = 25.00 π, β = π
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α = 0.08/ π, 2.0/π
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α = 0.04 / π , β =1.0/π
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α = 12.50 , β =π/ 2.0
Solution
A.
α = 25.00 π, β = π
y = 0.005 cos (αx − βt)
comparing the equation with the standard form,