The mathematical form of three travelling waves are given by y1=(2cm)sin⁡(3x−6t)y2=(3cm)sin⁡(4x−12t) and y3=(4cm)sin⁡(5x−11t) of these waves,

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Wave 1 has greatest wave speed and greatest maximum transverse string speed.

Wave 2 has greatest wave speed and wave 1 has greatest maximum transverse string speed.

Wave 3 has greatest wave speed and wave 1 has greatest maximum transverse string speed.

Wave 2 has greatest wave speed and wave 3 has greatest maximum transverse string speed.

answer is D.

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Detailed Solution

For the wave, y=Asin⁡(kx−ωt), t), the wave speed is ω/k and the maximum transverse string speed is Aω.

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