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Phase of an SHM at given times

This type of question, asked 3 times: 14 May 2024 S1, 20 Apr 2025 S1, 15 May 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    14 May 2024 S1

    24
    The equation of the wave is Y=10sin⁡(2πt30+α)Y=10\sin\left(\dfrac{2\pi t}{30}+\alpha\right). If the displacement is 5 cm at t=0t=0 then the total phase at t=7.5t=7.5 s will be (sin⁡30∘=0.5\sin30^\circ=0.5)

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  2. Question 2

    20 Apr 2025 S1

    18
    The period of S. H.M. of a particle is 16 second. The phase difference between the positions at t=2 st= 2\text{ }s and t=4 st= 4\text{ }s will be

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  3. Question 3

    15 May 2026 S1

    119
    The period of S.H.M. of a particle is 1212s. The phase difference between the positions at t=3t = 3s and t=4t = 4s will be

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