Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations (i), (ii) and (iii) are in the ratio
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(a) $T \propto \frac{1}{{\sqrt k }}$

==> ${T_1}:{T_2}:{T_3} = \frac{1}{{\sqrt k }}:\frac{1}{{\sqrt {k/2} }}:\frac{1}{{\sqrt {2k} }} = 1:\sqrt 2 :\frac{1}{{\sqrt 2 }}$

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