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

  • question_answer
    A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation \[AD=C\text{ }In\text{ (}BD\text{)}\]holds true. Then which of the combination is not a meaningful quantity?

    A)  \[\frac{C}{BD}-\frac{A{{D}^{2}}}{C}\]

    B)  \[{{A}^{2}}-{{B}^{2}}{{C}^{2}}\]

    C)  \[\frac{A}{B}-C\]

    D)  \[\frac{(A-C)}{D}\]

    Correct Answer: D

    Solution :

    [d] Dimension of A\[\ne \] dimension of[c] Hence A - C is not possible.


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