The mathematical form of three travelling waves are given by Y1=(2cm)sin(3x−6t)Y2=(3cm)sin(4x−12t)andY3=(4cm)sin(5x−11t)
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 DWave 2 has greatest wave speed and wave 3 has greatest maximum transverse string speed. For the wave, y=Asin(kx−ωt), the wave speed is ωk and the maximum transvers string speed is Aω