JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    In Bohr?s model, if the atomic radius of the first orbit is \[{{r}_{0}}\], then the radius of the fourth orbit is              [CBSE PMT 2000]

    A)            \[{{r}_{0}}\]                          

    B)            \[4{{r}_{0}}\]

    C)            \[{{r}_{0}}/16\]                   

    D)            \[16{{r}_{0}}\]

    Correct Answer: D

    Solution :

               \[{{r}_{n}}\propto {{n}^{2}}\Rightarrow \frac{{{r}_{4}}}{{{r}_{1}}}={{\left( \frac{4}{1} \right)}^{2}}=\frac{16}{1}\Rightarrow {{r}_{4}}=16\ {{r}_{1}}\Rightarrow {{r}_{4}}=16\ {{r}_{0}}\]


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