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Relations between rotational kinetic energy, angular momentum and moment of inertia

This type of question, asked 8 times: 4 May 2023 S1, 10 May 2023 S2, 11 May 2024 S2, 21 Apr 2025 S2, 17 Apr 2026 S1, 18 Apr 2026 S1, 20 Apr 2026 S1, 12 May 2026 S2. All 8 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    4 May 2023 S1

    12
    A rotating body has angular momentum LL. If its frequency is doubled and kinetic energy is halved, its angular momentum will be

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  2. Question 2

    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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  3. Question 3

    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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  4. Question 4

    21 Apr 2025 S2

    9
    A body is rotating about its own axis. Its rotational kinetic energy is ' xx ' and its angular momentum is ' yy '. Hence its moment of inertia about its own axis is

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  5. Question 5

    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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  6. Question 6

    18 Apr 2026 S1

    105
    The angular momentum of a rotating body is 'L'. When the frequency of rotating body is tripled and its kinetic energy is made one-third, the new angular momentum becomes

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  7. Question 7

    20 Apr 2026 S1

    107
    A body is rotating about its own axis. Its rotational kinetic energy is 'xx' and its angular momentum is 'yy'. Hence its moment of inertia about its own axis is

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  8. Question 8

    12 May 2026 S2

    104
    Two bodies rotate with kinetic energies E1E_1 and E2E_2, moment of inertia about their axes of rotation is I1I_1 and I2I_2. If 3I1=I23I_1 = I_2 and E1=27E2E_1 = 27E_2 then the ratio of the angular momenta L1L_1 to L2L_2 is

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