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A wave is expressed by the equation `y=0.5sinpi(0.01x-3t)` where y and x are in metre and t in seconds. Find the speed of propagation. |
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Answer» The given equation is `y-0,5sinpi(0.01x-3t)` `=0.5sin((pix)/(100)-3pit)` Compare it with the standard from of equation `y=rsin((2pix)/(lambda)-(2pit)/(T))` `r=0.5m, (2pi)/(lambda)=(pi)/(100),lambda=200m. ` `(2pi)/(T)=3pi,T=(2)/(3)sec.` Speed of propagation ` upsilon=vlambda=(lambda)/(T)` `upsilon=(200)/(2//3)=300m//s` |
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