The displacement of a particle executing S.H.M from its mean position is given by $\mathrm{x}=0.5\sin (10\mathrm{\pi t}+\mathrm{\varphi })\cos (10\mathrm{\pi t}+\mathrm{\varphi })$. The ratio
of the maximum velocity to the maximum acceleration of the body is given by

• A

  20π

• B

  1/20π

• C

  1/10π

• D

  10π