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Two tuning forks give some beats; each is in unison with a slightly different length of the same sonometer wire; find their frequencies

The same question, asked 3 times: 13 May 2024 S2*, 19 Apr 2025 S2*, 23 Apr 2025 S1. Every wording below, oldest first.

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  1. Question 1

    13 May 2024 S2

    27
    When two tuning forks are sounded together, 5 beats per second are heard. One of the forks is in unison with 0.97 m length of sonometer wire and the other is in unison with 0.96 m length of the same wire. The frequencies of the two tuning forks are

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  2. Question 2

    19 Apr 2025 S2

    48
    When two tuning forks are sounded together, 6 beats per second are heard. One of the fork is in unison with 0.70 m length of sonometer wire and another fork is in unison with 0.69 m length of the same sonometer wire. The frequencies of the two tuning forks are

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  3. Question 3

    23 Apr 2025 S1

    22
    Two tuning forks when sounded together produce 4 beats per second. One of the forks is in unison with 23 cm length of sonometer wire and other with 24 cm length of the same wire. The frequencies of the two tuning forks are

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