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
    $2\pi \sqrt{\frac{p}{p+q}}$

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