BCECE Engineering BCECE Engineering Solved Paper-2004

  • question_answer
    The Bohrs orbit radius for the hydrogen atom \[(n=1)\] is approximately \[\text{0}\text{.53 }\overset{\text{o}}{\mathop{\text{A}}}\,\]. The radius for the first excited state \[(n=2)\] orbit is:

    A) \[\text{0}\text{.27 }\overset{\text{o}}{\mathop{\text{A}}}\,\]         

    B)        \[\text{1}\text{.27 }\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C) \[\text{2}\text{.12 }\overset{\text{o}}{\mathop{\text{A}}}\,\]          

    D)        \[\text{3}\text{.12 }\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: C

    Solution :

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


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