AFMC AFMC Solved Paper-2011

  • question_answer
    If force (F), length (L) and time (T) be considered fundamental units, then units of mass will be

    A) [FLT-2]                                  

    B) [FL-2T-1]

    C) [FL-1T2]                                 

    D) [F2 L T-2]

    Correct Answer: C

    Solution :

    Let \[M\propto [{{F}^{a}}{{L}^{b}}{{T}^{b}}]\] Writing dimensions \[[{{M}^{1}}{{L}^{o}}{{T}^{o}}]=K{{[ML{{T}^{-2}}]}^{a}}{{[L]}^{b}}{{[T]}^{c}}\] On comparing both sides \[a=1,\,a+b\,=0\Rightarrow b=-1\] and \[-2a+c=0\] \[\Rightarrow \]  \[c=2\] \[\therefore \]  Units of mass is \[[F{{L}^{-1}}{{T}^{2}}].\]


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