NEET Sample Paper NEET Sample Test Paper-21

  • question_answer The angular momentum of an electron in a hydrogen atom is proportional to:

    A) \[\frac{1}{\sqrt{r}}\]                          

    B) \[\frac{1}{r}\]                        

    C) \[\sqrt{r}\]                   

    D)   \[{{r}^{2}}\]

    Correct Answer: C

    Solution :

    Angular Momentum \[=L=\frac{nh}{2\pi }\] The radius of the orbit \[=r={{a}_{0}}{{n}^{2}}\Rightarrow n=\sqrt{r/{{a}_{0}}}\] Where \[{{a}_{0}}=\]radius of first orbit of hydrogen atom. \[\therefore \]    \[L=\sqrt{\frac{r}{{{a}_{0}}}}\times \frac{h}{2\pi }\Rightarrow L\alpha \sqrt{r}\] Hence, the correction option is(c).

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