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The equation of two progressive waves ar...

The equation of two progressive waves are `y^' = 8sin(200pit - x/8 + pi)` and `y^'' = 6 sin( 200pit -x/8)` cm. if two waves superpose at a point , the resultant amplitude is

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Resultant amplitude
`R=sqrt(a_1^2+a_2^2+2a_1a_2cos(a_1-a_2)=8^2+6^2+2cdot8cdot6cdotcospi=64+36+91(-1)=sqrt4=2cm`
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