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MHT CET 2025 (21 Apr, Shift 2) · Progressive Wave Equation

Progressive Wave Equation question from MHT CET 2025 (21 Apr, Shift 2)

Q25MHT CET 2025 · 21 APR · SHIFT 2Easy

Progressive Wave Equation

The equation of a progressive wave is Y=3sin⁡[π(t3−x5)+π4]Y = 3\sin\left[\pi\left(\frac{t}{3} - \frac{x}{5}\right) + \frac{\pi}{4}\right] where x and y are in meter and time in second. Which of the following is correct?

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Answer: (a)

  1. ω=π3\omega = \dfrac{\pi}{3}, k=π5k = \dfrac{\pi}{5}, A=3 mA = 3\text{ m}.
  2. λ=2ππ/5=10 m\lambda = \dfrac{2\pi}{\pi/5} = 10\text{ m}; v=53 m/sv = \dfrac{5}{3}\text{ m/s}; f=16 Hzf = \dfrac{1}{6}\text{ Hz}
  3. So the answer is (a) wavelength =10 m= 10\text{ m}.
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