A transverse wave is described by the equation y = yo sin 2πft - xλ .The maximum particle velocity is equal to four times the wave velocity if :

Wave velocity v = coefficient of tcoefficient of x = 2πf2π/λ = λf Maximum particle velocity vpm = ωA = 2πfyo Given, vpm = 4v or 2πfyo = 4λ f ∴ λ = πyo2 ∴ correct option is (B)