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Sonometer wire divided by bridges into segments of different fundamental frequencies

This type of question, asked 3 times: 10 May 2023 S2, 9 May 2024 S1, 13 May 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    10 May 2023 S2

    6
    The length of a sonometer wire 'AB' is 110 cm. Where should the two bridges be placed from end 'A' to divide the wire in three segments whose fundamental frequencies are in the ratio 1:2:31:2:3?

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  2. Question 2

    9 May 2024 S1

    43
    When a string of length 'll' is divided into three segments of length l1,l2l_1, l_2 and l3l_3. The fundamental frequencies of three segments are n1,n2n_1, n_2 and n3n_3 respectively. The original fundamental frequency 'nn' of the string is

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  3. Question 3

    13 May 2026 S1

    122
    A stretched wire of length 110110 cm is divided in to 3 segments whose frequencies are in the ratio 1:2:31 : 2 : 3. Their respective lengths must be

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