Punjab Medical Punjab - MET Solved Paper-2005

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

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

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

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

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

    Correct Answer: C

    Solution :

    Radius of the \[{{n}^{th}}\]orbit for hydrogen atoms\[{{r}^{n}}=0.529\times {{n}^{2}}\] Radius of the \[(n=2)\] orbit for hydrogen atom\[{{r}_{2}}=0.529\times {{(2)}^{2}}\] \[=2.116\overset{\text{o}}{\mathop{\text{A}}}\,=2.12\overset{\text{o}}{\mathop{\text{A}}}\,\]


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