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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 ?
  • 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$Y(x, t)=0.03\left[\sin 5.1 x-\left(1.5 \times 10^{3}\right) t\right]$
JEE MAIN 2021, Diffcult
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