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

  • question_answer
    An organ pipe \[{{P}_{1}}\] closed at one end vibrating in its first overtone and another pipe \[{{P}_{2}}\] open at both ends vibrating in third overtone are in resonance with a given tuning fork. The ratio of the length of \[{{P}_{1}}\] to that of \[{{P}_{2}}\] is

    A)  8/3

    B)  3/8  

    C) ½

    D) 1/3

    Correct Answer: B

    Solution :

    [b] \[3\times \frac{v}{4{{l}_{c}}}=4\times \frac{v}{2{{l}_{0}}}\,\,or\,\,\frac{{{l}_{c}}}{{{l}_{0}}}=\frac{3v}{4}\times \frac{2}{4v}=\frac{3}{8}\]


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