A sound wave of frequency \(245 \,Hz\) travels with the speed of \(300\, ms ^{-1}\) along the positive \(x\)-axis. Each point of the wave moves to and fro through a total distance of \(6 \,cm\). What will be the mathematical expression of this travelling wave ?

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(D) \(Y(x, t)=0.03\left[\sin 5.1 x-\left(1.5 \times 10^{3}\right) t\right]\)

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\(\omega=2 \pi f\)

\(=1.5 \times 10^{3}\)

\(A=\frac{6}{2}=3 \,cm =0.03\, m\)

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