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

  • question_answer
    With the usual notations, the following equation \[{{S}_{t}}=u+\frac{1}{2}a(2t-1)\]is

    A) Only numerically correct

    B)  Only dimensionally correct

    C)  Both numerically and dimensionally correct

    D)  Neither numerically nor dimensionally correct

    Correct Answer: A

    Solution :

    [a] On \[LHS,\,{{S}_{t}}\] is the distance while on RHS, u is the speed, so it is not dimensionally correct. It is numerically correct only.


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