The wave described by y=0.25 (10 x-2 t) , where x and y are in metre and t in second, is a wave travelling along the

Step-by-step solution

Key Idea : The sign between two terms in argument of sine will define its direction. Writing the given wave equation y=0.25 (10 x-2 t) The minus (-) between (10 x) and (2 t) implies that the wave is travelling along positive x direction. Now comparing Eq. (i) with standard wave equation y=a (k x- t) We have array l a=0.25 ~m , =2 , k=10 m 2 T =2 f=1 ~Hz array Also, = 2 k = 2 10 =0.2 ~m Therefore, the wave is travelling along +ve x direction with frequency 1 ~Hz and wavelength 0.2 ~m