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NEET Sample Paper NEET Sample Test Paper-11

  • 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 \[R=\frac{Potential\,differece}{Current}=\frac{V}{i}=\frac{W}{qi}\] (\[\because \]Potential difference is equal to work done per unit charge) So, dimensions of R \[=\frac{[Dimensions\,of\,work]}{[Diamensions\,of\,charge][Dimensions\,of\,current]}\]\[=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[IT][I]}=[M{{L}^{2}}{{T}^{3}}{{I}^{-2}}]\]


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