A particle at the end of a spring executes simple harmonic motion with a period \( t_{1} \), whi...

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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 :
(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) \( T^{-2}=t_{1}^{-2}+t_{1}^{-2} \)
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