1.

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.

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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