The equation of a plane progressive wave is   $y=0.09\sin 8\pi \left(t-\frac{x}{20}\right)$. When it is reflected at rigid support, its amplitude becomes 2/3rd of its previous value. The equation of the reflected wave is 
 

 

 

• A

  $y=-0.09\sin 8\pi \left(t-\frac{x}{20}\right)$

• B

  $\mathrm{y}=0.06\sin \text{8π}\left(\mathrm{x}-\frac{\mathrm{t}}{20}\right)$

• C

  $\mathrm{y}=-0.06\sin \text{8π}\left(\mathrm{x}-\frac{\mathrm{t}}{20}\right)$

• D

  $\mathrm{y}=-0.06\sin \text{8π}\left(\mathrm{x}+\frac{\mathrm{t}}{20}\right)$