The equation of wave is Y = 6sin (12π t - 0.02π x + π/3) where ' x ' is in m and ' t ' in s. 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 is Y = 6sin (12π t - 0.02π x + π/3) where ' x '… | MHT CET 2023 (10 May, Shift 2)

Q49MHT CET 2023 · 10 MAY · SHIFT 2Easy

Progressive Wave Equation

The equation of wave is $Y = 6\sin\left(12\pi t - 0.02\pi x + \frac{\pi}{3}\right)$ where ' $x$ ' is in $\text{m}$ and ' $t$ ' in $\text{s}$ . 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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