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MHT CET 2024 (4 May, Shift 2) · Progressive Wave Equation

Progressive Wave Equation question from MHT CET 2024 (4 May, Shift 2)

Q41MHT CET 2024 · 4 MAY · SHIFT 2Easy

Progressive Wave Equation

A transverse wave travelling along a stretched string has a speed of 30 m/s30\text{ m/s} and a frequency of 250 Hz. The phase difference between two points on the string 10 cm apart at the same instant is

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Answer: (c)

  1. λ=vf=30250=0.12\lambda = \frac{v}{f} = \frac{30}{250} = 0.12 m
  2. Δϕ=2πλΔx=2π×0.100.12=5π3\Delta\phi = \frac{2\pi}{\lambda}\Delta x = \frac{2\pi \times 0.10}{0.12} = \frac{5\pi}{3} rad
  3. So the answer is (c) (5π3)c\left(\frac{5\pi}{3}\right)^c.
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