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

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Answer & Solution

Correct Answer

(C) The wave is propagating along the negative \(x-\) axis with speed \(25\, ms^{-1}\).

Step-by-step Solution

Detailed explanation

\(y=10^{-3} \sin (50 t+2 x)\)

Wave is travelling along negative \(X-axis\)

Wave speed \(=\frac{\omega}{\mathrm{k}}=\frac{50}{2}=25 \mathrm{m} / \mathrm{s}\)

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