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The equation given below represents a st...

The equation given below represents a stationary wave set-up in a medium
`y=12sin(4pix)sin(4pit)`
where y and x are in cm and t is in second. Calculate the amplitude, wavelength and velocity of the component waves.

Text Solution

Verified by Experts

Compare the given equation with stationary wave equation, `y=2asinkxsinomegat`
we have `2a=12cm,k=4pi,omega=4pi`
Therefore, amplitude of the component wave=6cm.
`k=4pi`
`(2pi)/(lamda)=4piimplieslamda=(1)/(2)=0.5cm`
Further velocity of the wave
`v=(omega)/(k)=(40pi)/(4pi)=10cm//s`
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