RAJASTHAN PMT Rajasthan - PMT Solved Paper-2003

  • question_answer
    Plancks constant has the dimensions of:

    A)  energy                                

    B)  power

    C)  impulse              

    D)         angular momentum

    Correct Answer: D

    Solution :

    From the relation, we observe \[E=hv\] or,       \[h=\frac{E}{v}=\frac{M{{L}^{2}}{{T}^{2}}}{1/T}=M{{L}^{2}}{{T}^{-1}}\]  ...(1) Again, angular momentum                                 \[L=l\omega \] \[=M{{L}^{2}}\times \frac{1}{T}=M{{L}^{2}}{{T}^{-1}}\]                                 ...(2) Hence, from eqs. (1) and (2) Dimensions of h = dimensions of angular momentum\[=ML{{\,}^{2}}{{T}^{-1}}\] Hence, Plancks constant has the dimensions of angular momentum.


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