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(C) The general equation for a travelling harmonic wave is $y(x, t) = A \sin(\omega t + kx + \phi)$.Comparing this with the given equation $y(x, t) =

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The wave is propagating along the negative $x$-axis with speed $25 \ m/s$.

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(C) The general equation for a travelling harmonic wave is $y(x, t) = A \sin(\omega t + kx + \phi)$.Comparing this with the given equation $y(x, t) = 10^{-3} \sin(50t + 2x)$:Here,$\omega = 50 \ rad/s$ and $k = 2 \ rad/m$.Since the sign between the $t$ and $x$ terms is positive $(+)$,the wave is propagating along the negative $x$-axis.The wave speed $v$ is given by the ratio of angular frequency to the wave number: $v = \frac{\omega}{k}$.Substituting the values: $v = \frac{50}{2} = 25 \ m/s$.Therefore,the wave is propagating along the negative $x$-axis with a speed of $25 \ m/s$.

$A$ travelling harmonic wave is represented by the equation $y(x, t) = 10^{-3} \sin(50t + 2x)$,where $x$ and $y$ are in meters and $t$ is in seconds. Which of the following is a correct statement about the wave?

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