AIIMS AIIMS Solved Paper-2005

  • question_answer
    The magnetic moment \[\beta =100,\Delta {{i}_{C}}=1mA\]of a revolving electron around the nucleus varies with principal quantum number n as:

    A) \[\therefore \] 

    B)                       \[100=\frac{1}{\Delta {{i}_{E}}-1}\]          

    C)       \[\Delta {{i}_{E}}=1=\frac{1}{100}=0.01\]                              

    D)       \[\Delta {{i}_{E}}=1+0.01=1.01mA.\]

    Correct Answer: A

    Solution :

    From Bohrs model of atom, electrons can revolve only in those orbits in which their angular momentum is an integral multiple of \[Fdx={{K}_{f}}-\frac{1}{2}mv_{i}^{2}\] where h is Plancks universal constant. From Bohrs postulate \[F.dx={{K}_{f}}-\frac{1}{2}\times 10\times {{(10)}^{2}}\] \[\Rightarrow \]     \[F.dx={{K}_{f}}-500\] where n is integer  (= 1, 2, 3,.......) and is called principal quantum number. Note: The discrete orbits in which electrons can revolve are known as stable orbits.


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