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NEET AIPMT SOLVED PAPER SCREENING 2007

  • question_answer
                    Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be:                                                                                                                                       

    A)                  \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-1}}]\]         

    B)                  \[[M{{L}^{2}}{{T}^{-2}}]\]           

    C)                  \[[M{{L}^{2}}{{T}^{-1}}{{I}^{-1}}]\]         

    D)                  \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\]

    Correct Answer: D

    Solution :

                    Resistance                 \[R=\frac{potential\,difference}{current}=\frac{V}{i}=\frac{W}{qi}\]                 (\[\because \]Potential difference is equal to work done per unit charge)                 So, Dimensions of R                 \[=\frac{[Dimensions\,of\,work]}{[Dimensions\,of\,ch\arg e]\,[Dimensions\,of\,current]}\]                 \[=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[IT]\,[I]}=[M{{L}^{2}}{{T}^{-3}}{{T}^{-2}}]\]


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