JEE Main & Advanced Physics Wave Mechanics Question Bank Beats

  • question_answer
    A tuning fork and a sonometer wire were sounded together and produce 4 beats per second. When the length of sonometer wire is 95 cm or 100 cm, the frequency of the tuning fork is                                  [MP PMT 1990]

    A)            156 Hz                                     

    B)            152 Hz

    C)            148 Hz                                     

    D)            160 Hz

    Correct Answer: A

    Solution :

               Probable frequencies of tuning fork be \[n+4\] or \[n-4\]                    Frequency of sonometer wire \[n\propto \frac{1}{l}\]                    \[\therefore \] \[\frac{n+4}{n-4}=\frac{100}{95}\] or \[95\,(n+4)=100(n-4)\]                    or \[95n+380=100n-400\] or \[5n=780\] or \[n=156\]


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