JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank Atomic models and Planck's quantum theory

  • question_answer
    The radius of which of the following orbit is same as that of the first Bohr's orbit of hydrogen atom [IIT Screening 2004]

    A)                 \[H{{e}^{+}}(n=2)\]        

    B)                 \[L{{i}^{2+}}(n=2)\]

    C)                 \[L{{i}^{2+}}(n=3)\]        

    D)                 \[B{{e}^{3+}}(n=2)\]

    Correct Answer: D

    Solution :

               \[{{r}_{H}}=0.529\frac{{{n}^{2}}}{z}{\AA}\]                    For hydrogen ; \[n=1\] and \[z=1\]therefore                            \[{{r}_{H}}=0.529{\AA}\]                    For \[B{{e}^{3+}}:\,Z=4\] and \[n=2\] Therefore                                 \[{{r}_{B{{e}^{3+}}}}=\frac{0.529\times {{2}^{2}}}{4}=0.529{\AA}\].


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