EAMCET Medical EAMCET Medical Solved Paper-2010

  • question_answer
    In a hydrogen atom, the electron is at a distance of \[\text{4}\text{.768 }\overset{\text{o}}{\mathop{\text{A}}}\,\] from the nucleus. The angular momentum of the electron is

    A)  \[\frac{3h}{2\pi }\]                                        

    B)  \[\frac{h}{2\pi }\]

    C)  \[\frac{h}{\pi }\]                                             

    D)  \[\frac{3h}{\pi }\]

    Correct Answer: A

    Solution :

                     Given, distance of electron from nucleus, ie, Radius \[{{r}_{n}}=4.768\overset{\text{o}}{\mathop{\text{A}}}\,\]A Radius of first Bohrs orbit, \[r=0.53\overset{\text{o}}{\mathop{\text{A}}}\,\] \[{{r}_{n}}=r\times {{n}^{2}}\] \[4.768=0.528\times {{n}^{2}}\] \[{{n}^{2}}=9.0\] \[\therefore \]  \[n=3\] Angular momentum of electron \[=\frac{nh}{2\pi }=\frac{3h}{2\pi }\]


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