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Two particles on circles with the same time period: ratio of speeds or accelerations

This type of question, asked 5 times: 16 May 2023 S2, 12 May 2024 S1, 23 Apr 2025 S1, 19 Apr 2026 S1, 12 May 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    16 May 2023 S2

    17
    Two objects of masses m1m_1 and m2m_2 are moving in circles of radii r1r_1 and r2r_2 respectively. Their respective angular speeds ω1\omega_1 and ω2\omega_2 are such that they both complete one revolution in the same time tt. The ratio of linear speed of m2m_2 to that of m1m_1 is

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  2. Question 2

    12 May 2024 S1

    41
    Two particles having mass MM and mm are moving in a circular path with radius RR and rr respectively. The time period for both the particles is same. The ratio of angular velocity of the first particle to the second particle will be

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  3. Question 3

    23 Apr 2025 S1

    42
    Two bodies of mass 10 kg and 5 kg are moving in concentric circular orbits of radii 'RR' and 'rr' respectively such that their periods are same. The ratio between their centripetal acceleration is

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  4. Question 4

    19 Apr 2026 S1

    103
    Two particles having mass 'M' and 'm' are moving in a circular path with radius 'R' and 'r' respectively. The time period for both the particles is same. The ratio of angular velocity of the first particle to that of the second particle will be

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  5. Question 5

    12 May 2026 S1

    103
    Two particles A and B are moving in uniform circular motion in concentric circles of radii rAr_A and rBr_B with speeds vAv_A and vBv_B respectively. TAT_A and TBT_B are the time periods of rotation of the particles respectively and their relation is TA=3TBT_A = 3T_B. The ratio of angular speed of B to that of A will be

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