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  4. If wave equation is y=0.08 sin (2π /λ )(200 t-x) then the velocity of the wave will be

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Q. If wave equation is $ y=0.08\,\sin \frac{2\pi }{\lambda }(200\,t-x) $ then the velocity of the wave will be

Punjab PMETPunjab PMET 2005Waves

Solution:

Given :
$y=0.08\, \sin \frac{2 \pi}{\lambda}(200 t-x)$ ...(1)
Standard equation is given by
$y=a \sin \frac{2 \pi}{\lambda}(v t-x)$ ...(2)
On comparing eqs $(1)$ and $(2)$
$v=200\, m / s$