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

  • question_answer
    If x and R stands for distance. Then which of the following is dimensionally same as\[\int{\frac{Rdx}{{{x}^{2}}}}\]?

    A) \[R{{x}^{2}}\]

    B)  \[2xR\]

    C)  \[\frac{R}{x}\]

    D)  \[-\frac{{{R}^{2}}}{x}\]  

    Correct Answer: C

    Solution :

    [c] \[\left[ \int{\frac{Rdx}{{{x}^{2}}}} \right]=\frac{[R][x]}{[{{x}^{2}}]}=\frac{[R]}{[x]}\]


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