RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • question_answer
    The radius of hydrogen atom is\[0.53\,\,\overset{o}{\mathop{A}}\,\]. The radius of \[_{3}L{{i}^{+2}}\] is of:

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

    B) \[0.17\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C) \[0.57\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]       

    D)        \[0.99\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: B

    Solution :

    The radius of hydrogen atom\[=0.53\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]\[_{3}L{{i}^{+2}}\]ion also has only one electron but it has 3 protons in nucleus, hence its electron fells three times more attraction from nucleus in comparison of hydrogen atom. Thus the radius of \[_{3}L{{i}^{+2}}\] will be                 \[=\frac{0.53}{3}=0.17\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]


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