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  4. The equation of a resultant wave obtained after superposition of two waves is given by y(x, t)=2 a sin k x cos ω t. The position of nodes will be given by

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Q. The equation of a resultant wave obtained after superposition of two waves is given by $y(x, t)=2 a \sin$ $k x \cos \omega t$. The position of nodes will be given by

Waves

Solution:

From the equation $y(x, t)=2 a \sin k x \cos \omega t$ the position of nodes (where amplitude is zero) are given by $\sin k x=0$ or $k x=n \pi $
where $n=0,1,2,3, \ldots$