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Distance between two points of a progressive wave with a given phase difference, from its frequency and velocity

The same question, asked 5 times: May 2021 S1*, May 2022 S1*, 4 May 2023 S1*, 19 Apr 2025 S2*, 13 May 2026 S1. Every wording below, oldest first.

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  1. Question 1

    May 2021 S1

    13
    A progressive wave of frequency 500 Hz is travelling with a velocity of 360 m/s. How far apart are two points 60∘60^\circ out of phase?

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  2. Question 2

    May 2022 S1

    14
    In a medium, the phase difference between two particles separated by a distance xx is π5\frac{\pi}{5} rad. If the frequency of the oscillation of particles is 25 Hz and the velocity of propagation of the waves is 75 m/s, then the value of xx is

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  3. Question 3

    4 May 2023 S1

    46
    A progressive wave of frequency 400 Hz is travelling with a velocity 336 m/s. How far apart are the two points which are 60∘60^\circ out of phase?

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  4. Question 4

    19 Apr 2025 S2

    27
    A progressive wave of frequency 400 Hz is travelling with velocity 336 m/s336\,m/s. How far apart are the two points on a wave which are 60∘60^{\circ} out of phase?

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  5. Question 5

    13 May 2026 S1

    123
    Two points on a travelling wave having frequency 500500 Hz and velocity 300300 m/s are 60∘60^\circ out of phase, then the minimum distance between the two points is

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