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Tuning forks in a series, each giving x beats with the next: find x from one fork's frequency

The same question, asked 2 times: 4 May 2023 S2*, 19 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    4 May 2023 S2

    44
    A set of 28 tuning forks is arranged in an increasing order of frequencies. Each fork produces 'x' beats per second with the preceding fork and the last fork is an octave of the first. If the frequency of the 12th fork is 152 Hz, the value of 'x' (no. of beats per second) is

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  2. Question 2

    19 Apr 2026 S1

    121
    A set of 1414 tuning forks is arranged in a series of increasing frequencies. Each fork produces 'xx' beats per second with the preceding fork and the last fork is an octave of the first fork. If the seventh fork has the frequency of 114114 Hz, the value of xx is

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