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${T^{ - 2}} = t_1^{ - 2} + t_2^{ - 2}$
AIEEE 2004, Medium
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