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JEE Main & Advanced Physics Wave Mechanics Question Bank Vibration of String

  • question_answer
    Four wires of identical length, diameters and of the same material are stretched on a sonometre wire. If the ratio of their tensions is 1 : 4 : 9 : 16 then the ratio of their fundamental frequencies are                [KCET 2000]

    A)            16 : 9 : 4 : 1                            

    B)            4 : 3 : 2 : 1

    C)            1 : 4 : 2 : 16                            

    D)            1 : 2 : 3 : 4

    Correct Answer: D

    Solution :

                 \[n\propto \sqrt{T}\] Þ \[{{n}_{1}}:{{n}_{2}}:{{n}_{3}}:{{n}_{4}}=\sqrt{1}:\sqrt{4}:\sqrt{9}:\sqrt{16}=1:2:3:4\]


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