Correct Answer - C
The given wave equation is,y=Asin`(omegat-kx)`
Wave velocity,`v=omega/k`….(i)
Particle velocity,`v_(p)=(dy)/(dt)=Aomegacos(omegat-kx)`
Maximim particle velocity, `(v_(p))_(max)`
`omega/k=Aomega` (Using (i) and (ii))
`1/k=Aorlamda/(2pi)=A`(`becausek=(2pi)/lamda`)
`lamda=2piA`