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                In a transverse wave the distance between ac rest and neighboring trough at the same instant is 4.0 cm the distance between a crest and trough at the same place is 1.0 cm. Then ext crest appears at the same palace after a time interval of \[0.4s.\]The maximum speed of the vibrating particle the medium is:     JEE Main Online Paper ( Held On 25  April 2013 )

A)                 \[\frac{3\pi }{2}\operatorname{cm}/s\]                               

B)                                        \[\frac{5\pi }{2}\operatorname{cm}/s\]

C)                                        \[\frac{\pi }{2}\operatorname{cm}/s\]                 

D)                                        \[2\pi \] cm/s