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NEET Sample Paper NEET Sample Test Paper-6

  • question_answer
    If the speed of light [c], acceleration due to gravity (g) and pressure (p) are taken as fundamental units, the dimensional formula of gravitational constant (G) will be:

    A)  \[{{c}^{o}}g{{p}^{-3}}\]                       

    B)  \[{{c}^{2}}{{g}^{3}}{{p}^{-2}}\]

    C)  \[{{c}^{o}}{{g}^{2}}{{p}^{-1}}\]                  

    D)  \[{{c}^{2}}{{g}^{o}}{{p}^{-2}}\]

    Correct Answer: C

    Solution :

    \[G={{e}^{a}}{{g}^{b}}{{p}^{c}}\] \[[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}]={{[L{{T}^{-1}}]}^{a}}{{[L{{T}^{-2}}]}^{b}}{{[M{{L}^{-1}}{{T}^{-2}}]}^{c}}\]                \[a=0,\,\] \[b=2\] and  \[C=-1\]                 \[\Rightarrow \]               \[G={{c}^{0}}{{g}^{2}}{{p}^{-1}}\]


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