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MHT CET 2023 (14 May, Shift 1) · Progressive Wave Equation

Progressive Wave Equation question from MHT CET 2023 (14 May, Shift 1)

Q54MHT CET 2023 · 14 MAY · SHIFT 1Easy

Progressive Wave Equation

A progressive wave is given by, $Y = 12\sin(5t - 4x)$ . On this wave, how far away are the two points having a phase difference of $90^\circ$ ?

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Answer: (b)

From $Y = 12\sin(5t - 4x)$ : $k = 4$ .
$90^\circ = \frac{\pi}{2}$ , so $\Delta x = \frac{\Delta\phi}{k} = \frac{\pi/2}{4} = \frac{\pi}{8}$
So the answer is (b) $\frac{\pi}{8}$ .

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