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 from through a total distance of 6 cm. What will be the mathematical expression of this travelling wave?

Question

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 from through a total distance of 6 cm. What will be the mathematical expression of this travelling wave?

Y(x, t) = 0.03 [ sin 5.1x $-$ (0.2 $\times$ 10³)t ]

Y(x, t) = 0.03 [ sin 5.1x $-$ (1.5 $\times$ 10³)t ]

Y(x, t) = 0.06 [ sin 5.1x $-$ (1.5 $\times$ 10³)t ]

Y(x, t) = 0.06 [ sin 0.8x $-$ (0.5 $\times$ 10³)t ]

Solution

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