A particle at the end of a spring executes S.H.M with a period \( t...

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A particle at the end of a spring executes S.H.M 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 \( \mathrm{T} \) then
(a) \( \mathrm{T}^{-1}=\mathrm{t}_{1}^{-1}+\mathrm{t}_{2}^{-1} \)
(b) \( \mathrm{T}^{2}=\mathrm{t}_{1}^{2}+\mathrm{t}_{2}^{2} \)
(c) \( \mathrm{T}=\mathrm{t}_{1}+\mathrm{t}_{2} \)
(d) \( \mathrm{T}^{-2}=\mathrm{t}_{1}^{-2}+\mathrm{t}_{2}^{-2} \)
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