A simple harmonic progressive wave is represented by y = Asin (100π t + 3x). The distance between two points on the wave at a phase difference of π/3 radian is (a) π/8 m (b) π/9 m (c) π/6 m (d) π/3 m

Answer: (b). Compare with y = Asin (ω t + kx): 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 (100π t… | MHT CET 2023 (10 May, Shift 2)

Q38MHT CET 2023 · 10 MAY · SHIFT 2Medium

Periodic Motion & SHM Basics

A simple harmonic progressive wave is represented by $y = A\sin(100\pi t + 3x)$ . The distance between two points on the wave at a phase difference of $\frac{\pi}{3}$ radian is

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Answer: (b)

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

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