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JEE Main & Advanced Sample Paper JEE Main Sample Paper-34

  • question_answer
    If G ,c, and h are the fundamental constants of physics then the unit of time is expressed as

    A)  \[\sqrt{\frac{hc}{G}}\]

    B)  \[\sqrt{\frac{hG}{{{c}^{2}}}}\]

    C)  \[\sqrt{\frac{hG}{{{c}^{5}}}}\]

    D)  \[\sqrt{\frac{hc}{G}}\]

    Correct Answer: C

    Solution :

    \[\therefore \,\,[G]\,=\left[ \frac{F{{r}^{2}}}{{{M}^{2}}} \right]\,={{M}^{-1}}\,{{L}^{3}}{{T}^{-2}}\]             \[[c]\,=L{{T}^{-1}}\]             \[[b]=\left[ \frac{Energy}{Frequency} \right]=M{{L}^{2}}{{T}^{-1}}\]             \[=\,\sqrt{\frac{hG}{{{c}^{5}}}}\,=5\]


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