Two waves travelling in opposite directions produce a standing wave. The individual wave functions are given by y1=4 sin (3x−2t) and y2=4 sin (3x+2t) cm, where x and y are in cm (sin 6.9c = 0.58)

y=y1+y2y=4[sin⁡(3x−2t)+sin⁡(3x+2t)]y=4[2sin⁡(3x)cos⁡(2t)]y=8sin⁡(3x)cos⁡(2t)y=Rcos⁡(2t)R=Resultant⁡ Amplitude =8sin⁡(3x)R=8sin⁡[3(2.3)]R=8sin⁡(6.9)R=4.63cmNodes are formed at points of zero intensity, i.e.,             IR=R2=0sin2⁡(3x)=0sin⁡(3x)=03x=0,π,2π,3π,4π,…x=0,π3,2π3,π,4π3,…Antinodes are formed in between.