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Figure shows a snapshot of a sinusoidal...

Figure shows a snapshot of a sinusoidal travelling wave taken at `t= 0.3 s`.The wavelength is `7.5 cm` and the amplitude is `2 cm`. If the crest `P` was at `x= 0`at `t = 0`, write the equation of travelling wave. ,

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Given ,`A=2 cm,lambda=7.5 cm`
`k=(2pi)/(lambda)=(4pi)/(15)cm^(-1)`
The wave has travelled a distance of `1.2 cm` in `0.3 s`. hence, speed of the wave, `v=1.2//0.3=4 cm//s`
Therefore, angular frequency `omega=(v)(k)`
`=(16pi)/(15) rad//s`
Since the wave is travelling along positive `x-`direction and crest (maximum displacement) is at `x=0` at `t=0`, we can write the wave equation as,
`y(x,t)=2 cos (kx-omegat)`
`=2 cos((4pi)/(15)x-(16pi)/(15)t)`
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