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Propagation Of Disturbance

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In the figure shown A and B are two ends of a string of length 100m . S_(1) and S_(2) are two sources due to which point 'A' and 'B' oscillate in 'y' and 'z' directions respectively according to the equation y = 2 sin (100 pi t + 30^(@)) and z = 3 sin (100 pi t + 60^(@)) where t is in sec and y is in mm . The speed of propagation of disturbance along the string is 50 m//s . Find the instantaneous positions vector (in mm ) and velocity vector in (m//s) of a particle 'P' of string which is at 25m from A . You have to find these parameters after both the disturbance from S_(1) and S_(2) have reached 'P' . Also find the phase difference between the waves at the point 'P' when they meet at 'P' first time.

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