question_answer 10)

For the travelling harmonic wave, y (x, t) = 2.0 cos 2 n [10t ? 0.0080 x + 0.35], where x and y are in cm and t in s, what is the phase difference between oscillatory motion at two points separated by a distance of (i) 4 m (ii) 0-5 m (iii) /2 (iv) 3 /4 ?  

Answer:

The given equation can be rewritten as       Compare it with the standard equation of a travelling harmonic wave, We get, Further, we know that for the path difference x, the     phase diff.,                 (i) when,    x = 4 m = 400 cm                                             (ii) when,        x= 0.5 = 50 cm                  (iii) when,                      (iv) when,