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The equation of a travelling wave is y...

The equation of a travelling wave is
`y=0.07sin (12pix-500pit)`
where the distances are in metre and time is in second. Calculate the wavelength and velocity of wave.

Text Solution

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`y=0.05[2pi(110t+-(x)/(3))+-phi_(0)]`
Compare it with `y=0.07sin (12pix-500pit)`
`y=rsin((2pi)/(lambda)x-(2pi)/(lambda)upsilont)`
Coeff. Of `x:=(2pi)/(lambda)=12pi,lambda=(2)/(12)=(1)/(6)m`
Coeff. Of `t:=(2pi)/(lambda)upsilon=500pi, `
`upsilon =250lambda=(250)/(6)=41.7m//s`
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