BHU PMT BHU PMT (Mains) Solved Paper-2005

  • question_answer
    If muscle times speed equals power what is the ratio of the SI unit and the CGS unit of muscle?

    A)  10s                                       

    B)  \[{{10}^{3}}\]

    C)  107                                       

    D) \[{{10}^{-5}}\]

    Correct Answer: A

    Solution :

    \[Muscle\times speed=power\] \[\therefore \] \[Muscle=\frac{power}{speed}=\frac{work}{time\times speed}\] \[=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[T][L{{T}^{-1}}]}=[ML{{T}^{-2}}]\] \[=mass\times acceleration=force\] Hence, \[\frac{SI\text{ }unit\text{ }of\text{ }force}{CGS\text{ }unit\text{ }of\text{ }force}=\frac{kg\times m\times {{s}^{-2}}}{g\times cm\times {{s}^{-2}}}\] \[={{10}^{3}}\times {{10}^{2}}={{10}^{5}}\]


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