AFMC AFMC Solved Paper-2000

  • question_answer
    A 5.5 m length of string has a mass of 0.035 kg. If the tension in the string is 77 N. then the speed of a wave on the string will be :

    A)  102 m/s                              

    B)  77 m/s

    C)  110 m/s                              

    D)  150 m/s

    Correct Answer: C

    Solution :

                     The speed of transverse wave in a flexible string depends upon the tension in the string and the mass per unit length of the string. \[v=\sqrt{\frac{T}{m}}\] where T is tension and m is mass per unit length of the string (not the mass of the string). Given, \[m=\frac{0.035}{5.5}=\frac{7}{1100}\,kg/m,\]                 \[T=77\,N\] \[\therefore \]                    \[v=\sqrt{\frac{77\times 110}{7}}\] \[=110\,\,m/s\]


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