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Two bodies with equal rotational kinetic energy: ratio of angular momenta or moments of inertia

The same question, asked 3 times: 10 May 2023 S2*, 11 May 2024 S2*, 17 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    10 May 2023 S2

    23
    Two bodies A and B have their moments of inertia I1I_1 and I2I_2 respectively about their axis of rotation. If their kinetic energies of rotation are equal and their angular momenta L1L_1 and L2L_2 respectively are in the ratio 1:31:3, then I2I_2 will be

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  2. Question 2

    11 May 2024 S2

    32
    Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio.

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  3. Question 3

    17 Apr 2026 S1

    107
    Two bodies A and B have moment of inertia IAI_A and IBI_B, and angular momenta LAL_A and LBL_B respectively. Both of them have same kinetic energy of rotation. So the ratio LAL_A to LBL_B is

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