The equation of wave motion is Y = 6sin (12π t - 0.02π x + π/3) where x is in metre and time in second. The velocity of the wave is (a) 200 m/s (b) 300 m/s (c) 400 m/s (d) 600 m/s

Answer: (d). ω = 12π, k = 0.02π v = (ω)/(k) = (12π)/(0.02π) = 600 m/s So the answer is (d) 600 m/s.

The equation of wave motion is Y = 6sin (12π t - 0.02π x + π/3) where… | MHT CET 2026 (16 Apr, Shift 1)

Q3MHT CET 2026 · 16 APR · SHIFT 1Easy

Progressive Wave Equation

The equation of wave motion is $Y = 6\sin\left(12\pi t - 0.02\pi x + \frac{\pi}{3}\right)$ where x is in metre and time in second. The velocity of the wave is

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Answer: (d)

$\omega = 12\pi$ , $k = 0.02\pi$
$v = \dfrac{\omega}{k} = \dfrac{12\pi}{0.02\pi} = 600\text{ m/s}$
So the answer is (d) $600\text{ m/s}$ .

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