DUMET Medical DUMET Medical Solved Paper-2004

  • question_answer
    The first overtone of a stretched wire of given length is 320 Hz. The first harmonic is :

    A)  320 Hz       

    B)  160 Hz

    C)  480 Hz       

    D)  640 Hz

    Correct Answer: B

    Solution :

     If a wire, vibrates in p segments, then its frequency is given by \[n=\frac{p}{2\,l}\sqrt{\frac{T}{m}}\] where \[l\] is length of wire, T is tension and m is mass per unit length. The frequency of first harmonic is \[n=\frac{1}{2\,l}\sqrt{\frac{T}{m}}\] ?. (i) The frequency of second harmonic or first overtone is \[n=\frac{2}{2\,l}\sqrt{\frac{T}{m}}\] ?. (ii) \[\Rightarrow \] \[n=2\,n\] \[\Rightarrow \] \[n=\frac{n}{2}=\frac{320}{2}=160\,Hz\]


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