18.Standing waves are produced by the superoposition of two waves y1=a sin (wt-kx), y2=a sin(wt+kx).The amplitude of a particle at distance x is --------

       y1 = a sin  (wt - kx)
 and  y2  = a sin (wt + kx )
         y = y1 + y2​ 
        y = a [ sin (wt - 
kx)+ sin (wt+ kx) ]
        y = a [sinwt   coskx - coswt sinkx + sinwt coskx + coswt sinkx ]
        y = 2a sinwt coskx 
        y = (2a coskx ) 
sinwt 
        y = A sinwt 
Amplitude of resultant wave (particle) at distance  x  is (2a coskx )

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