JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Self Evaluation Test - Physical World, Units and Measurements

  • question_answer
    What are the dimensions of A/B in the relation \[F=A\sqrt{x}+B{{t}^{2}}\], where F is the force, x is the distance and t is time?

    A)  \[M{{L}^{2}}{{T}^{-2}}\]

    B)  \[{{L}^{-1/2}}{{T}^{2}}\]

    C)  \[{{L}^{-1/2}}{{T}^{-1}}\]

    D)  \[L{{T}^{-2}}\]

    Correct Answer: B

    Solution :

    [b] \[[F]=[A]\times {{[x]}^{1/2}}=[B]{{[t]}^{2}}\] \[\Rightarrow \frac{[A]}{[B]}=\frac{[t{{[}^{2}}}{{{[x]}^{1/2}}}=[{{L}^{-1/2}}{{T}^{2}}]\]


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