JEE Main & Advanced Physics Wave Mechanics Question Bank Mock Test - Waves and Acoustics

  • question_answer
    A closed organ pipe and an open organ pipe of same length produce 2 beats when they are set into vibration simultaneously in their fundamental mode. The length of the open organ pipe is now halved and of the closed organ pipe is doubled; the number of beats produced will be

    A) 8                     

    B) 7

    C) 4                     

    D) 2

    Correct Answer: B

    Solution :

    [b] \[{{f}_{o}}-{{f}_{c}}=2\] or \[\frac{v}{2l}-\frac{v}{4l}=2\] or  \[\frac{v}{4l}=2\] or  \[\frac{v}{l}=8\] When length of OOP is halved and that of COP is doubled, the beat frequency will be \[{{f}_{o}}'-{{f}_{c}}'=\frac{v}{l}-\frac{v}{8l}=\frac{7}{8}\frac{v}{l}=\frac{7}{8}\times 8=7\]


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