JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    The radius of the Bohr orbit in the ground state of hydrogen atom is 0.5 Å. The radius of the orbit of the electron in the third excited state of \[H{{e}^{+}}\] will be                                          [MP PMT 2000]

    A)            8 Å

    B)            4 Å

    C)            0.5 Å                                        

    D)            0.25 Å

    Correct Answer: B

    Solution :

               By using \[{{r}_{n}}={{r}_{0}}\frac{{{n}^{2}}}{Z}\]; Where r0 = Radius of the Bohr orbit in the ground state atom . So for \[H{{e}^{+}}\]third excited state \[n=4,\ Z=2,\ {{r}_{0}}=0.5{\AA}\]Þ \[{{r}_{4}}=0.5\times \frac{{{4}^{2}}}{2}=4{\AA}\]


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