For a particle executing SHM, the kinetic energy (K) is given by $\mathrm{K}={\mathrm{K}}_0{\cos }^2\mathrm{\omega t}$ . The equation for its displacement is

• A

  ${\left(\frac{{\mathrm{K}}_0}{{\mathrm{m\omega }}^2}\right)}^{\frac{1}{2}}\mathrm{sin\omega t}$

• B

  ${\left(\frac{2{\mathrm{K}}_0}{{\mathrm{m\omega }}^2}\right)}^{\frac{1}{2}}\mathrm{sin\omega t}$

• C

  ${\left(\frac{2{\mathrm{\omega }}^2}{{\mathrm{mK}}_0}\right)}^{\frac{1}{2}}\mathrm{sin\omega t}$

• D

  ${\left(\frac{2{\mathrm{K}}_0}{\mathrm{m\omega }}\right)}^{\frac{1}{2}}\mathrm{sin\omega t}$