A transverse wave is described by the equation \[Y={{Y}_{0}}\sin 2\pi \left( ft-\frac{x}{\lambda } \right)\]. The maximum particle velocity is four times the wave velocity if [IIT 1984; MP PMT 1997; EAMCET; 1998; CBSE PMT 2000; AFMC 2000; MP PMT/PET 1998; 01; KCET 1999, 04; Pb. PET 2001; DPMT 2005]

• A.            \[\lambda =\frac{\pi {{Y}_{0}}}{4}\]                               
• B.            \[\lambda =\frac{\pi {{Y}_{0}}}{2}\]
• C.            \[\lambda =\pi {{Y}_{0}}\]      
• D.            \[\lambda =2\pi {{Y}_{0}}\]