Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2005

  • question_answer
    Energy of a photon is given by \[\text{E=hv}\] where v is the number of vibrations per second and h is Planck's constant. Dimensions of Planck's constant are

    A)  \[\text{ }\!\![\!\!\text{ }{{\text{M}}^{\text{0}}}{{\text{L}}^{\text{0}}}{{\text{T}}^{\text{0}}}\text{ }\!\!]\!\!\text{ }\]                                       

    B)  \[\text{ }\!\![\!\!\text{ M}{{\text{L}}^{2}}{{\text{T}}^{\text{-1}}}\text{ }\!\!]\!\!\text{ }\]

    C)  \[\text{ }\!\![\!\!\text{ M}{{\text{L}}^{2}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]                          

    D)  \[\text{ }\!\![\!\!\text{ M}{{\text{L}}^{2}}{{\text{T}}^{\text{-3}}}\text{ }\!\!]\!\!\text{ }\]

    Correct Answer: B

    Solution :

    \[E=hv\] or \[h=\frac{E}{v}\] So, dimensions of \[h=\frac{\text{dimensions}\,of\,E}{Dimensions\,of\,v}\]                                 \[=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[{{M}^{0}}{{L}^{0}}{{T}^{-1}}]}=[M{{L}^{2}}{{T}^{-1}}]\]


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