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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. |
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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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