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A sound wave of frequency 245 \(\mathrm{~Hz}\) travels with the speed of 300 \(\mathrm{~m} / \mathrm{s}\) along the posi…

Q1

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

a

\(Y(x, t)=0.03\left[\sin 5.1 x-\left(0.2 \times 10^3\right) t\right]\)

b

\(Y(x, t)=0.06\left[\sin 5.1 x-\left(1.5 \times 10^3\right) t\right]\)

c

\(Y(x, t)=0.06\left[\sin 0.8 x-\left(0.5 \times 10^3\right) t\right]\)

d

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

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