The equation of a simple harmonic wave is given by y=6 2 (2 t-0 . l x) , where x and y are in mm and t is in seconds. The phase difference between two particles 2 ~mm apart at any instant is

Step-by-step solution

Equalion of simple harmonic wave is given as y=6 2 (2 t-0.1 x) Path difference, x=2 ~mm Comparing with standard equation of wave, aligned y &=A ( t-k x) &=A 2 (v t- k 2 x ) k 2 &=0.1 k &=0.2 aligned Wavelength, = 2 k = 2 0.2 =10 ~mm We know that, phase difference, aligned &= 2 path difference ( x) &= 2 10 2= 2 5 = 2 180 5 =72^ aligned