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

  • question_answer
    Which one of the following represents the correct dimensions of the gravitational constant?

    A)  \[[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}]\]

    B)  \[[ML{{T}^{-1}}]\]

    C)

    D)  \[[M{{L}^{-2}}{{T}^{-2}}]\]

    Correct Answer: A

    Solution :

    [a]  \[F=\frac{GMm}{{{R}^{2}}}\] \[\therefore \,\,\,\,\,[L]=\frac{F{{R}^{2}}}{Mm}\Rightarrow G=[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}]\]


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