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Period of a pendulum of length l1 - l2 from the periods of lengths l1 and l2

The same question, asked 3 times: 4 May 2023 S1*, 17 Apr 2026 S1*, 20 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    4 May 2023 S1

    18
    A simple pendulum of length l1l_1 has time period T1T_1. Another simple pendulum of length l2 (l1>l2)l_2\,(l_1>l_2) has time period T2T_2. Then the time period of the pendulum of length l1−l2l_1 - l_2 will be

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  2. Question 2

    17 Apr 2026 S1

    118
    Two simple pendulums of lengths L1L_1 and L2L_2 have periodic time T1T_1 and T2T_2 respectively (T1>T2)(T_1 > T_2). The time period of the pendulum of length (L1−L2)(L_1 - L_2) is [(L1−L2)>60 cm][(L_1 - L_2) > 60\ \mathrm{cm}]

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  3. Question 3

    20 Apr 2026 S1

    117
    A simple pendulum of length l1l_1 has periodic time 2.42.4 s. Another simple pendulum of length l2<l1l_2 < l_1, has periodic time 1.81.8 s. The periodic time of simple pendulum of length (l1−l2)(l_1 - l_2) is nearly

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