A simple harmonic progressive wave is represented by y = Asin (120π t + 3x). The distance between two points on the wave at a phase difference of π/3 radian is (a) π/6 m (b) π/9 m (c) 2π/9 m (d) π/18 m

Answer: (b). From y = Asin (120π t + 3x): k = 3 m⁻¹. Δ x = (Δφ)/(k) = (π/3)/(3) = π/9 m So the answer is (b) π/9 m.

A simple harmonic progressive wave is represented by y = Asin (120π t… | MHT CET 2026 (15 Apr, Shift 2)

Q18MHT CET 2026 · 15 APR · SHIFT 2Easy

Progressive Wave Equation

A simple harmonic progressive wave is represented by $y = A\sin(120\pi t + 3x)$ . The distance between two points on the wave at a phase difference of $\frac{\pi}{3}$ radian is

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Answer: (b)

From $y = A\sin(120\pi t + 3x)$ : $k = 3\ \text{m}^{-1}$ .
$\Delta x = \frac{\Delta\phi}{k} = \frac{\pi/3}{3} = \frac{\pi}{9}$ m
So the answer is (b) $\frac{\pi}{9}$ m.

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