CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

  • question_answer
    The dimensions of the quantity\[hv/c,\]where h is Plancks constant, v is the frequency and c is the velocity of light is:

    A)  \[[M{{T}^{-1}}]\]            

    B)         \[[ML{{T}^{-1}}]\]

    C)  \[[ML{{T}^{-2}}]\]      

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

    E)  \[[M{{L}^{-2}}{{T}^{-2}}]\]

    Correct Answer: B

    Solution :

    The Dimensions of\[h=[M{{L}^{2}}{{T}^{-1}}]\] Dimensions of\[v=[{{T}^{-1}}]\] Dimensions of \[c=[L{{T}^{-1}}]\] Dimensions of\[\frac{hv}{c}=\frac{[M{{L}^{2}}{{T}^{-1}}][{{T}^{-1}}]}{[L{{T}^{-1}}]}\]                                 \[=[ML{{T}^{-1}}]\]


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