A simple harmonic wave is represented by the relation y(x,t)=a0 sin 2π(vt−xλ) If the maximum particle velocity is three times the wave velocity, the wavelength λ of the wave is
2πa03
Maximum particle velocity =a0ω=2πa0v
Wave velocity =vλ
Given that 2πa0 v=3v λ
Or λ=(2πa03)