A particle executes SHM of amplitude A and time period T. The distance travelled by the particle in the duration its phase changes from $\frac{\mathrm{\pi }}{12} \mathrm{to} \frac{5\mathrm{\pi }}{12}$.

• A

  $\frac{1}{\sqrt{2}}\mathrm{A}$

• B

  $\sqrt{\frac{3}{2}}\mathrm{A}$

• C

  $\frac{2}{\sqrt{3}} \mathrm{A}$

• D

  $\sqrt{\frac{2}{3}}\mathrm{A}$