A simple harmonic progressive wave is represented as y = 0.03sin π(2t - 0.01x)m. At a given instant of time, the phase difference between two particles 25 m apart is (a) π rad (b) π/2 rad (c) π/4 rad (d) π/8 rad

Answer: (c). y = 0.03sin (2π t - 0.01π x), so k = 0.01π m⁻¹. Δφ = k Δ x = 0.01π × 25 = π/4 rad So the answer is (c) π/4 rad.

A simple harmonic progressive wave is represented as y = 0.03sin π(2t… | MHT CET 2019 (2 May, Shift 2)

Q81MHT CET 2019 · 2 MAY · SHIFT 2Easy

Progressive Wave Equation

A simple harmonic progressive wave is represented as $y = 0.03\sin\pi(2t - 0.01x)\text{m}$ . At a given instant of time, the phase difference between two particles 25 m apart is

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Answer: (c)

$y = 0.03\sin(2\pi t - 0.01\pi x)$ , so $k = 0.01\pi\ \text{m}^{-1}$ .
$\Delta\phi = k\,\Delta x = 0.01\pi \times 25 = \frac{\pi}{4}$ rad
So the answer is (c) $\frac{\pi}{4}$ rad.

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Progressive Wave Equation question from MHT CET 2019 (2 May, Shift 2)

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