NEET Sample Paper NEET Sample Test Paper-41

  • 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:

    A) 16:9:4:1                       

    B) 4:3:2:1

    C) 1:4:2:16                       

    D) 1:2:3:4

    Correct Answer: D

    Solution :

    \[\operatorname{f}=\frac{1}{2\pi }\sqrt{\frac{\operatorname{T}}{{{\,}_{\mu }}^{\operatorname{o}}}}\] \[\operatorname{f}\propto \sqrt{\operatorname{T}}\] Ratio of fundamental frequency \[\sqrt{{{\operatorname{T}}_{1}}}:\sqrt{{{\operatorname{T}}_{2}}}:\sqrt{{{\operatorname{T}}_{3}}}:\sqrt{{{\operatorname{T}}_{4}}}\] \[\sqrt{1}:\sqrt{4}:\sqrt{9}:\sqrt{16}\] \[1:2:3:4\]


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