JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions JEE PYQ - Mathematical Tools Units and Dimensions

  • 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 in (BD) holds ture .Then which of the combination is not a meaningful quantity?        [JEE ONLINE 10-04-2016]

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

    B) \[\frac{A}{B}-C\]

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

    D) \[\frac{(A-C)}{D}\]

    Correct Answer: D

    Solution :

    [d] (BD) \[AD=C\ell n(BD)\]
                \[(B)\,(D)\to \] dimensionless
                \[\left[ AD \right]=\left[ C \right]\]
                Checking options one by one
                \[\frac{A-C}{D}\] dimensions of A are not same as dimensions of C. Meaningless


You need to login to perform this action.
You will be redirected in 3 sec spinner