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Angle turned in a given second under uniform angular acceleration from rest

This type of question, asked 3 times: 9 May 2023 S2, 12 May 2024 S2, 20 Apr 2025 S2. All 3 questions below, oldest first.

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  1. Question 1

    9 May 2023 S2

    15
    A disc at rest is subjected to a uniform angular acceleration about its axis. Let θ\theta and θ′\theta' be the angle made by the disc in 2nd and 3rd second of its motion. The ratio θθ′\frac{\theta}{\theta'} is

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  2. Question 2

    12 May 2024 S2

    33
    In ppth second a particle describes angular displacement of 'β\beta' rad. If it starts from rest, the angular acceleration is

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  3. Question 3

    20 Apr 2025 S2

    3
    A wheel initially at rest, begins to rotate about its axis with constant angular acceleration. If it rotates through an angle θ1\theta_{1} in first 2 s and a further angle θ2\theta_{2} in the next 2 s , the ratio θ1:θ2\theta_{1}:\theta_{2} is

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