The displacements of two particles executing simple harmonic motion are represented as y ₁=2 (10 t + ) and y ₂=3 10 t . The phase difference between the velocities of these waves is

Step-by-step solution

aligned y ₁ &=2 (10 t + ) V ₁= dy ₁ dt =20 (10 t + ) y ₂ &=3 10 t &=-30 ( 2 -10 t ) &=-30 (10 t - 2 ) &=30 (10 t - 2 + ) &=30 (10 t + 2 ) aligned phase difference between V ₁ and V ₂=(10 t+ )- (10 t+ 2 )= ( - 2 )