NEET Sample Paper NEET Sample Test Paper-64

  • question_answer
    The energy level diagram for a hydrogen like atom is shown in the figure. The radius of its first Bohr orbit is

    A) \[0.265\text{ }\overset{{}^\circ }{\mathop{A}}\,\]          

    B)   \[0.53\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C) \[0.132\overset{\text{o}}{\mathop{\text{A}}}\,\]             

    D) none of these

    Correct Answer: A

    Solution :

    We know that \[{{E}_{n}}\,=\,\,-13.6\,\,\,\frac{{{Z}^{2}}}{{{n}^{2}}}\,\,eV\,\,and\,\,{{r}_{n}}\,=0.53\] \[\frac{{{n}^{2}}}{Z}\,(\overset{{}^\circ }{\mathop{A}}\,)\] Here for \[n=1,\,\,{{E}_{1}}=-54.4\,\,eV\] Therefore \[-54.4 =-13.6\,\,\frac{{{Z}^{2}}}{{{I}^{2}}}\,\,\,\Rightarrow \,\,Z=2\]


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