The equation of a progressive wave is Y = 3sin [π(t/3 - x/5) + π/4]… | MHT CET 2026 (11 Apr, Shift 2)

Q5MHT CET 2026 · 11 APR · SHIFT 2Easy

Progressive Wave Equation

The equation of a progressive wave is $Y = 3\sin\left[\pi\left(\frac{t}{3} - \frac{x}{5}\right) + \frac{\pi}{4}\right]$ where X and Y are in metre and time in second. Which of the following is correct?

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Answer: (c)

$Y = 3\sin\left(\dfrac{\pi}{3}t - \dfrac{\pi}{5}x + \dfrac{\pi}{4}\right)$ : $A = 3\text{ m}$ , $\omega = \dfrac{\pi}{3}$ , $k = \dfrac{\pi}{5}$ .
$\lambda = \dfrac{2\pi}{k} = 10\text{ m}$ ; $f = \dfrac{\omega}{2\pi} = \dfrac{1}{6}\text{ Hz}$ ; $v = \dfrac{\omega}{k} = \dfrac{5}{3}\text{ m/s}$
Only the wavelength matches.
So the answer is (c) wavelength $= 10\text{ m}$ .

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Progressive Wave Equation question from MHT CET 2026 (11 Apr, Shift 2)

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