J & K CET Engineering J and K - CET Engineering Solved Paper-2004

  • question_answer
    If force (F), length (L) and time (T) are assumed to be the fundamental units, then the dimensional formula of the mass will be

    A)  \[[F{{L}^{-1}}{{T}^{2}}]\]      

    B)  \[[F{{L}^{-1}}{{T}^{-2}}]\]

    C)  \[[F{{L}^{-1}}{{T}^{-1}}]\]

    D)  \[[F{{L}^{2}}{{T}^{2}}]\]

    Correct Answer: A

    Solution :

    From Newton's second law Force (F) = Mass (M) \[\times \] acceleration \[\therefore \] Dimensions of \[[F]=[ML{{T}^{-2}}]\] \[\Rightarrow \] \[[M]=[F{{L}^{-1}}{{T}^{2}}]\]


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