BHU PMT BHU PMT Solved Paper-2004

  • question_answer
    According to Bohr's principle, the relation between principle quantum number (n) and radius of orbit is :

    A)  \[r\propto n\]                                 

    B)  \[r\propto {{n}^{2}}\]

    C)  \[r\propto \frac{1}{n}\]                               

    D)  \[r\propto \frac{1}{{{n}^{2}}}\]

    Correct Answer: B

    Solution :

                     Key Idea: Bohr gave following formula to calculate the radius of orbit. \[{{r}_{n}}=\frac{{{n}^{2}}{{h}^{2}}}{4{{\pi }^{2}}K{{e}^{2}}{{Z}^{2}}}\] where all things except\[{{n}^{2}}\]are constant \[\therefore \]  \[{{r}_{n}}\propto {{n}^{2}}\]


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