A particle at the end of a spring executes simple harmonic motion with a period \[{{t}_{1}}\], while the corresponding period for another spring is \[{{t}_{2}}\]. If the period of oscillation with the two springs in series is T, then [AIEEE 2004]

• A. \[T={{t}_{1}}+{{t}_{2}}\]
• B. \[{{T}^{2}}=t_{1}^{2}+t_{2}^{2}\]
• C. \[{{T}^{-1}}=t_{1}^{-1}+t_{2}^{-1}\]
• D. \[{{T}^{-2}}=t_{1}^{-2}+t_{2}^{-2}\]