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NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    The force \[F\] on a sphere of radius \['a'\] moving in a medium with velocity \['v'\] is given by \[F=6\pi \eta av\]. The dimensions of \[\eta \] are                  [CBSE PMT 1997; DPMT 2000]

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

    B)             \[M{{T}^{-1}}\]

    C)             \[ML{{T}^{-2}}\]

    D)               \[M{{L}^{-3}}\]

    Correct Answer: A

    Solution :

                    \[\eta =\frac{F}{av}=\frac{[ML{{T}^{-2}}]}{[L]\,[L{{T}^{-1}}]}=[M{{L}^{-1}}{{T}^{-1}}]\]  


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