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The equation of a plane progressive wave is give by equation `y=10sin2pi(t-0.005x)` where y and x are in cm and t is in seconds. Calculate the amplitude, frequency, wavelength and velcoity of the wave.

Answer» The given equation is
`y=10sin2pi(t-0.005x)`
`=10sin2pixx0.005((t)/(0.005)-x)`
`y=10sin2pixx(1)/(200)(200t-x)`
Compare it with the standard equation of a travelling wave
`y=rsin(2pi)/(lambda)(vt-x)`
`r=10cm`. This is the amplitude,
`lambda=200cm=2metre`
`v=200 cm/s=2m//s`
Frequency, `v-(upsilon)/(lambda)=(2)/(2)=1Hz`


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