RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • question_answer
    Plancks constant has same dimension as:

    A)  angular momentum

    B)  linear momentum

    C)  force   

    D)         energy

    Correct Answer: A

    Solution :

    The dimension of Plancks constant is given by   \[h=\frac{E}{\upsilon }=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[{{T}^{-1}}]}\]              \[=[M{{L}^{2}}{{T}^{-1}}]\] Dimension of angular momentum is = moment of inertia x angular velocity \[=[M{{L}^{2}}{{T}^{-1}}]=[M{{L}^{2}}{{T}^{-1}}]\] So, the dimension of Plancks constant is same as of angular momentum.


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