BCECE Medical BCECE Medical Solved Papers-2004

  • question_answer
    The Bohrs orbit radius for the hydrogen atom \[(n=1)\] is approximately \[0.53\text{ }\overset{o}{\mathop{A}}\,\]. The radius for the first excited state \[(n=2)\] orbit is :

    A)  \[0.27\overset{o}{\mathop{A}}\,\]         

    B)  \[1.27\overset{o}{\mathop{A}}\,\]

    C)  \[2.12\overset{o}{\mathop{A}}\,\]

    D)  \[3.12\overset{o}{\mathop{A}}\,\]

    Correct Answer: C

    Solution :

    Key Idea: Radius of nth orbit of hydrogen atom\[=0.529\,\,{{n}^{2}}\] where n = no. of orbit = 2 \[\therefore \] \[{{r}_{2}}=0.529\times {{(2)}^{2}}=2.116\,\,\overset{o}{\mathop{A}}\,=2.12\,\overset{o}{\mathop{A}}\,\]


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