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 time displacement of the oscillator will be proportional to [AIEEE 2004]

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