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Question

The mathematical form of three travelling waves are given by
Y1=(2 cm) sin(3x6t)Y2=(3 cm) sin(4x12t)and Y3=(4cm) sin (5x11t)
of these waves,

A
Wave 1 has greatest wave speed and greatest maximum transverse string speed
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B
Wave 2 has greatest wave speed and wave 1 has greatest maximum transverse string speed
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C
Wave 3 has greatest wave speed and wave 1 has greatest maximum transverse string speed
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D
Wave 2 has greatest wave speed and wave 3 has greatest maximum transverse string speed.
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Solution

The correct option is D Wave 2 has greatest wave speed and wave 3 has greatest maximum transverse string speed.
For the wave, y=A sin (kxωt), the wave speed is ωk and the maximum transvers string speed is Aω

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