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Series of tuning forks, each giving a fixed number of beats with the next, the last an octave of the first

This type of question, asked 2 times: 4 May 2023 S2, 12 May 2024 S1. All 2 questions 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

    12 May 2024 S1

    29
    41 tuning forks are arranged in increasing order of frequency such that each fork gives 5 beats/second with next tuning fork. If frequency of last tuning fork is double that of frequency of first fork. Then frequency of first and last fork is

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