Sound WavesEasy
Question
A transerve wave is described by the equation y = y0 sin 2π(ft - 
). The maximum particle velocity is equal to four times the wave velocity if
). The maximum particle velocity is equal to four times the wave velocity ifOptions
A.λ = π
B.λ = πy0 / 2
C.λ = π / 2
D.λ = πy0
Solution
Wave velocity y = 
Maximum particle velocity vpm = ωA = 2πfy0
Given vpm = 4v
or 2π fy0 = 4λf
∴ λ = πy0 / 2.
Maximum particle velocity vpm = ωA = 2πfy0
Given vpm = 4v
or 2π fy0 = 4λf
∴ λ = πy0 / 2.
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