Uttarakhand PMT Uttarakhand PMT Solved Paper-2010

  • question_answer
    An electron makes transition inside a hydrogen atom. The orbital angular momentum of the electron may change by

    A) \[h\]

    B) \[\frac{h}{3\pi }\]

    C) \[\frac{h}{2\pi }\]

    D) \[\frac{h}{4\pi }\]

    Correct Answer: C

    Solution :

     Let electron jumps from \[{{n}_{1}}\to {{n}_{2}}\] So,    \[\Delta L=({{n}_{2}}-{{n}_{1}})=\frac{h}{2\pi }\] (According to Bohrs quantisation rule) Since, \[{{n}_{1}}\]and\[{{n}_{2}}\]are integers\[({{n}_{1}},{{n}_{2}}>1),\]so\[{{n}_{2}}-{{n}_{1}}\]is also an integral value and hence,\[\Delta L\]must be an integral multiple of\[\frac{h}{2\pi }\].


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