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MHT CET 2023 (12 May, Shift 2) · Progressive Wave Equation

Progressive Wave Equation question from MHT CET 2023 (12 May, Shift 2)

Q48MHT CET 2023 · 12 MAY · SHIFT 2Easy

Progressive Wave Equation

The equation of wave motion is Y=5sin⁡(10πt−0.02πx+π/3)Y = 5\sin(10\pi t - 0.02\pi x + \pi/3) where xx is in metre and tt in second. The velocity of the wave is

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Answer: (c)

  1. ω=10π\omega = 10\pi, k=0.02πk = 0.02\pi
  2. v=ωk=10π0.02π=500 m/sv = \dfrac{\omega}{k} = \dfrac{10\pi}{0.02\pi} = 500\text{ m/s}
  3. So the answer is (c) 500 m/s500\text{ m/s}.
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