$A$ 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
  $Y(x, t)=0.03 \sin(5.1 x - 1.5 \times 10^{3} t)$
• B
  $Y(x, t)=0.06 \sin(5.1 x - 1.5 \times 10^{3} t)$
• C
  $Y(x, t)=0.06 \sin(0.8 x - 0.5 \times 10^{3} t)$
• D
  $Y(x, t)=0.03 \sin(5.1 x - 0.2 \times 10^{3} t)$