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A mass $m$ is suspended separately by two different springs of spring constant $K_1$ and $K_2$ gives the time-period ${t_1}$ and ${t_2}$ respectively. If same mass $m$ is connected by both springs as shown in figure then time-period $t$ is given by the relation
  • A$t = {t_1} + {t_2}$
  • B$t = \frac{{{t_1}.{t_2}}}{{{t_1} + {t_2}}}$
  • C${t^2} = {t_1}^2 + {t_2}^2$
  • D${t^{ - 2}} = {t_1}^{ - 2} + {t_2}^{ - 2}$
AIPMT 2002, Medium
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