Question

A wave travelling along the x - axis is described by the equation y(x,t)=0.005cos(αx−βt). If the wavelength and time period of the wave are 0.08m and 2s, respectively, then α and β in appropriate units are

Answer 1

α = 25.00 π, β = π

y = 0.005 cos (αx − βt)

comparing the equation with the standard form

y=Acos [{(x/λ) – (t/T) }2π ]

2π/ λ = α and 2π/T=β

α = 2π /0.08 = 25.00 α

β = π
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