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NEET Sample Paper NEET Sample Test Paper-56

  • question_answer
    If F, V and T were chosen as fundamental units of force, velocity and time respectively, the  dimensions of mass would be represented as:

    A) \[\text{FVT }\!\!~\!\!\text{ }\]                 

    B) \[FV{{T}^{-1}}\] 

    C) \[F{{V}^{-1}}T\]                     

    D) \[F{{V}^{-1}}{{T}^{-1}}\]

    Correct Answer: C

    Solution :

    [c] \[M\propto {{F}^{a}}\,{{V}^{b}}\,{{T}^{c}}\] \[M\propto {{(ML{{T}^{-2}})}^{a}}{{(L{{T}^{-1}})}^{b}}{{(T)}^{c}}\] \[M\propto K\,[M]{{\,}^{a}}\,{{[L]}^{a+b}}\,[T]{{\,}^{-2a-b+c}}\] \[a=1,\,\,a+b\,=0,-2a-b+c=0\] \[b\,=-1\]                       \[-\,2\times 1-(-1)+c=0\]


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