NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    Out of the following, the only pair that does not have identical dimensions is   [MP PET/PMT 1998; BHU 1997]

    A)             Angular momentum and Planck's constant

    B)             Moment of inertia and moment of a force

    C)             Work and torque

    D)             Impulse and momentum

    Correct Answer: B

    Solution :

                    \[\text{Moment of inertia}=m{{r}^{2}}=[M]\,\,[{{L}^{2}}]\] Moment of Force = Force \[\times \] Perpendicular distance                         = \[[ML{{T}^{-2}}]\,[L]\,=\,[M{{L}^{2}}{{T}^{-2}}]\]


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