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NEET Sample Paper NEET Sample Test Paper-43

  • question_answer
    The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by relation of the type \[f=c{{m}^{x}}{{K}^{y}},\]where c is a dimensionless constant. The values of x and y are-

    A) 1/2, 1/2                        

    B) -1/2, -1/2

    C) 1/2, -1/2                       

    D) -1/2, ½

    Correct Answer: D

    Solution :

    \[f=c{{m}^{x}}{{k}^{y}}\] \[\left[ {{M}^{0}}{{L}^{0}}{{T}^{-1}} \right]={{\left[ {{M}^{1}} \right]}^{x}}{{\left[ {{M}^{0}}{{L}^{0}}{{T}^{-2}} \right]}^{y}}\] \[{{M}^{0}}{{L}^{0}}{{T}^{-1}}={{M}^{x}}^{+y}{{L}^{0}}{{T}^{-2y}}\] x + y =0               ... (1) \[-2y=-1\]              ... (2)


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