Two sine waves of same frequency and amplitude, travel on a stretched string in opposite directions. Speed of each wave is 10 cm/s. These two waves superimpose to form a standing wave pattern on the string. The maximum amplitude in the standing wave pattern is 0.5 mm. The figure shows the snapshot of the string at t = 0.Write the equation of the two travelling waves.

Answer

`y_(1)=0.25 sin (pi/4 x+(5pi)/2 t+(3pi)/4)`;
`y_(2)=0.25 sin (pi/4 x-(5pi)/2 t+(3pi)/4)`