JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Waves

  • question_answer
    Length of a sonometer wire between two fixed ends is 110 cm. If the fundamental frequencies are in the ratio of 1: 2: 3, then what is the ratio of lengths of these segments of the wire?

    A)  3 : 2 : 1

    B)  6 : 3 : 2

    C) 6 : 2 : 3

    D) 2 : 3 : 6

    Correct Answer: B

    Solution :

    [b] Frequency \[v=\frac{1}{2L}\sqrt{\frac{T}{m}}\]      \[\because V\propto \frac{1}{l}\] \[\therefore \,\,{{l}_{1}}:{{l}_{2}}:{{l}_{3}}=\frac{1}{1}:\frac{1}{2}:\frac{1}{3}=6:3:2\]


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