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Relation between the periods of identical springs in arrangements (a), (b) and (c)

The same question, asked 2 times: 11 May 2023 S2, 18 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    11 May 2023 S2

    23
    All the springs in fig. (a), (b) and (c) are identical, each having force constant K. Mass attached to each system is 'm'. If Ta,TbT_a, T_b and TcT_c are the time periods of oscillations of the three systems respectively, then

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  2. Question 2

    18 Apr 2026 S1

    119
    All the springs in fig (a), (b) and (c) are identical, each one having force constant K. Mass m is attached to each system. If TaT_a, TbT_b and TcT_c are the periodic time of oscillations of the three systems in fig (a), (b) and (c) respectively, then

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