AIIMS AIIMS Solved Paper-2010

  • question_answer
    The ratio of the dimensions of Plancks constant and that of the moment of inertia is the dimensions of

    A)  frequency                         

    B)  velocity              

    C)        angular momentum      

    D)  time

    Correct Answer: A

    Solution :

    Energy, \[{{C}_{4}}\] \[\frac{22}{3}\]  h = Plancks constant \[\frac{3}{22}\] \[\frac{7}{4}\]   \[\frac{4}{7}\] \[\overset{0}{\mathop{A}}\,\] and I = moment of inertia \[2\mathbf{\hat{i}}+3\mathbf{\hat{j}}+8\mathbf{\hat{k}}\] \[4\mathbf{\hat{j}}-4\mathbf{\hat{i}}+\alpha \mathbf{\hat{k}}\]      \[-1\] Hence,  \[\frac{1}{2}\] \[-\frac{1}{2}\] dimension of frequency


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