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NEET 2026 · Progressive Wave Equation

Progressive Wave Equation question from NEET 2026

Q21NEET 2026Easy

Progressive Wave Equation

For a travelling harmonic wave

y(x,t)=2.0cos⁡2π(10t−0.0080x+0.35)y(x, t) = 2.0\cos 2\pi(10t - 0.0080x + 0.35), where xx and yy are in cm and tt in s\text{s}. The phase difference between oscillatory motion of two points separated by a distance of 0.5 m is:

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Answer: (b)

  1. k=2π×0.0080 cm−1k = 2\pi \times 0.0080\ \text{cm}^{-1} (xx in cm).
  2. Δx=0.5\Delta x = 0.5 m =50= 50 cm
  3. Δϕ=k Δx=2π×0.0080×50=0.8π\Delta\phi = k\,\Delta x = 2\pi \times 0.0080 \times 50 = 0.8\pi rad
  4. So the answer is (b) 0.8π0.8\pi rad.
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