Dear Neeraj
yes they can be different

A  wave velocity is the velocity of energy moving through a medium and  particle velocity is the velocity of a particle (mass) through a medium.  The particle velocity will produce a wave velocity, either longitudinal  or traverse, i.e. sound waves or vibrations of a taut string. 
Consider a string tied at one end and you are moving the other end in  your hand. If you carefully observe, the wave is traveling through the  rope to the tied end. But, the particles, which constitute the rope move  only in up and down direction. They do not move parallel to the rope at  all. If that was the case, after a bit of time, you would have had a  rope that was denser on the tied end. So particle velocity is  perpendicular to the wave velocity in a transverse wave. It is equal to  (omega) squared times the wave velocity.


All the best.
AKASH GOYAL
AskiitiansExpert-IITD
 
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