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NEET Sample Paper NEET Sample Test Paper-88

  • question_answer
    If the atom \[_{100}F{{m}^{257}}\] follows the Bohr model and the radius of \[_{100}F{{m}^{257}}\] is n times the Bohr radius, then find n.

    A) 100      

    B)                    200 

    C) 4                     

    D)        ¼

    Correct Answer: D

    Solution :

    [d] For an atom following Bohr's model, the radius is given by \[{{r}_{m}}=\frac{{{r}_{0}}{{m}^{2}}}{Z}\] where \[{{r}_{0}}=\] Bohr's radius and m = orbit number. For Fm, m = 5 (Fifth orbit in which file outermost electron is present) \[\therefore \] \[{{r}_{m}}=\frac{{{r}_{0}}{{5}^{2}}}{100}=n{{r}_{0}}\,\,(\text{given})\]\[\Rightarrow \]\[n=\frac{1}{4}\]


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