When a wave travels in a medium, displacement of a particle is given byy=a Sin 2πbt-cx  where a, b, c are constants. The maximum particle velocity will be twice the wave velocity if

Maximum particle velocity is Aω  and wave velocity is ωk for a wave given by the equation Asinωt-kxhere y=a Sin 2πbt-cxSo maximum particle velocity     a×2πb and  wave velocity is bcgiven that 2πab=2bcc=1πa