NEET Physics Mathematical Tools, Units & Dimensions NEET PYQ-Mathematical Tools, Units and Dimensions

  • question_answer
    If force (F) velocity (\[\upsilon \]) and time (T) are taken as fundamental units, then the dimensions of mass are [NEET 2014]

    A) \[[Fv{{T}^{-1}}]\]

    B) \[[Fv{{T}^{-2}}]\] 

    C)  \[[F{{v}^{-1}}{{T}^{-1}}]\]

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

    Correct Answer: D

    Solution :

    We know that
    \[F=ma\Rightarrow F=\frac{mv}{t}\Rightarrow m=\frac{Ft}{v}\]
    \[[M]=\frac{[F][T]}{[v]}=[F{{v}^{-1}}T]\]


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