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The displacement of a progressive wave i...

The displacement of a progressive wave is represented by `"y"A sin(omegat-kx)` , where x is distance and t is time. Write the dimensional formula of (i) `omega`and (ii)K.

Text Solution

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The given equation is
y=Asin`(omegat-kx)`
The augment of a trigonometrical function i.e angle is dimensionless i.e, `omegat=theta`
`omega=theta/t=1/T=T^(-1)=[M^(0)L^(0)T^(-1)]`
Also kx=`theta`
`k=(theta)/(x)=(1)/(L)=L^(-1)=[M^(0)L^(-1)T^(0)]`
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