The equation $ y = 10 sin { \pi x \over 4 } Cos 10 t $ represents a stationary wave where x and y are in centimeter and t is in seconds The amplitude of each component wave is …….
$ y_1 = A sin (kx + \omega t) $ $ y_r = A sin ( kx -\omega t ) \Rightarrow y = yi + yr $ $ \therefore y = 2 A sin kx cos \omega t $ Here $ 2A = 10 , \therefore A = 5 $