AFMC AFMC Solved Paper-2002

  • question_answer
    The dimensions of Planck's constant are :

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

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

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

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

    Correct Answer: D

    Solution :

    Key Idea: Writing a relation for Plancks  constant  and substitute  dimensions for corresponding physical quantities. The energy (E) of a photon of light is given by                    E = hv       (v is frequency) \[\therefore \] \[\text{Diamensions of h =}\frac{\text{dimensions of energy E}}{\text{dimensions of frequency v}}\] \[=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[{{T}^{-1}}]}=[M{{L}^{2}}{{T}^{-1}}]\]


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