NEET Physics Waves Questions Solved

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A transverse wave is represented by the equation y=y0sin2πλ(vtx)

For what value of λ, the maximum particle velocity equal to two times the wave velocity 

(1) λ=2πy0

(2) λ=πy0/3

(3) λ=πy0/2

(4) λ=πy0

(4) On comparing the given equation with standard equation y=asin2πλ(vtx). It is clear that wave speed (v)wave=v and maximum particle velocity (vmax)particle=aω=y0× co-efficient of t =y0×2πvλ

   (vmax)particle=2(ω)wavea×2πvλ=2vλ=πy0

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