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A standing wave is represented by `y=2Asinkx cos omegat. ` If one of the component waves is `y_(1)=A sin (omega t-k x)`, what is the equation of the second component wave? |
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Answer» As, `2sinA cosB=sin(A+B)+sin(A-B)` `:. Y=2A sin k x cos omegat ` `=Asin (kx+omegat)+A sin(kx-omegat)` According to superposition principle, `y=y_(1)+y_(2),` and `y_(1)=A sin (omegat -kx)` `=-A sin(kx-omegat)` `:. Y_(2)=y-y_(1)` `=2Asin k x cos omega t +A sin (kx-omegat )` `=A sin (kx+omegat) +2A sin (kx-omegat)` `=A sin (kx+omegat)-2Asin(omegat-kx)` |
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