The displacement y of a wave travelling in the x -direction is given by y = 10⁻⁴sin (600t - 2x + π/3) metres where x is expressed in metres and t in seconds. The speed of the wave - motion, in ms⁻¹, is (a) 300 (b) 600 (c) 1200 (d) 200

Answer: (a). ω = 600 rad/s, k = 2 m⁻¹ v = (ω)/(k) = 600/2 = 300 m/s So the answer is (a) 300.

The displacement y of a wave travelling in the x -direction is given… | JEE Main 2003 (AIEEE)

Q100JEE Main 2003 · AIEEEEasy

Progressive Wave Equation

The displacement $y$ of a wave travelling in the $x$ -direction is given by

$y = 10^{-4}\sin\left(600t - 2x + \frac{\pi}{3}\right)\text{ metres}$

where $x$ is expressed in metres and $t$ in seconds. The speed of the wave - motion, in $\text{ms}^{-1}$ , is

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Answer: (a)