A sound wave of frequency $245 \mathrm{Hz}$ travels with the speed of $300{ \mathrm{m} \mathrm{s}}^{-1}$ 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

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

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

  $Y(x,t)=0.06\left[\sin 0.8x-\left(0.5\times {10}^3\right)t\right]$
• Correct answer
  D

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

Hence, the correct answer is option: 'D'.