The kinetic energy of a particle executing simple harmonic motion in a straight line is $pv^2$ and the potential energy is $qx^2$,where $v$ is the speed at a distance $x$ from the mean position. Its time period is given by the expression:

• A
  $2\pi \sqrt{\frac{q}{p}}$
• B
  $2\pi \sqrt{\frac{p}{q}}$
• C
  $2\pi \sqrt{\frac{q}{p+q}}$
• D
  $2\pi \sqrt{\frac{p}{p+q}}$