Two simple harmonic motions are represented by the equations \[{{y}_{1}}=0.1\sin \left( 100\pi t+\frac{\pi }{3} \right)\]and \[{{y}_{2}}=0.1\cos \pi t.\] The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is [AIEEE 2005]

• A.            \[\frac{-\pi }{3}\]                
• B.            \[\frac{\pi }{6}\]
• C.            \[\frac{-\pi }{6}\]                
• D.            \[\frac{\pi }{3}\]