A wave travelling in the positive x -direction having displacement along y -direction as 1 m, wavelength 2π m and frequency Hz is represented by 1/π (a) y = sin (x - 2t) (b) y = sin (2π x - 2π t) (c) y = sin (10π x - 20π t) (d) y = sin (2π x + 2π t)

Answer: (a). k = (2π)/(λ) = (2π)/(2π) = 1 m⁻¹ ω = 2π f = 2π × 1/π = 2 rad/s Wave along +x with A = 1 m: y = sin (kx - ω t) = sin (x - 2t) So the answer is (a) y = sin (x - 2t).

A wave travelling in the positive x -direction having displacement… | MHT CET 2026 (14 May, Shift 1)

Q8MHT CET 2026 · 14 MAY · SHIFT 1Easy

Progressive Wave Equation

A wave travelling in the positive $x$ -direction having displacement along $y$ -direction as $1$ m, wavelength $2\pi$ m and frequency Hz is represented by

$\frac{1}{\pi}$

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Answer: (a)

$k = \dfrac{2\pi}{\lambda} = \dfrac{2\pi}{2\pi} = 1\text{ m}^{-1}$
$\omega = 2\pi f = 2\pi \times \dfrac{1}{\pi} = 2\text{ rad/s}$
Wave along $+x$ with $A = 1\text{ m}$ : $y = \sin(kx - \omega t) = \sin(x - 2t)$
So the answer is (a) $y = \sin(x - 2t)$ .

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Progressive Wave Equation question from MHT CET 2026 (14 May, Shift 1)

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