A particle of mass m is attached to a spring (of spring constant k) and has a natural angular frequency\[{{\omega }_{0}}\]. An external force F (t) proportional to \[\cos \,\omega t(\omega \ne {{\omega }_{0}})\] is applied to the oscillator. The displacement of the oscillator will be proportional to

• A. \[\frac{1}{m(\omega _{0}^{2}+{{\omega }^{2}})}\]
• B. \[\frac{1}{m(\omega _{0}^{2}-{{\omega }^{2}})}\]
• C. \[\frac{m}{\omega _{0}^{2}-{{\omega }^{2}}}\]
• D. \[\frac{m}{(\omega _{0}^{2}+{{\omega }^{2}})}\]