JEE Main & Advanced Physics Atomic Physics Question Bank Self Evaluation Test - Atoms

  • question_answer
    A hydrogen atom in its ground state absorbs 10.2 eV of energy The orbital angular momentum is increased by

    A)  \[1.05\times {{10}^{-34}}J-s\]

    B)  \[3.16\times {{10}^{-34}}J-s\] [b] \[{{E}_{p}}=\frac{2{{K}_{ex}}}{{{\left( {{x}^{2}}+\frac{{{b}^{2}}}{4} \right)}^{3/2}}}\] For maximum \[{{E}_{p}}\] \[\frac{d{{E}_{p}}}{dx}=0\] \[\Rightarrow x=\frac{b}{2\sqrt{2}}\]

    C)  \[2.11\times {{10}^{-34}}J-s\]

    D)         \[4.22\times {{10}^{-34}}J-s\]

    Correct Answer: A

    Solution :

    [a] Electron after absorbing 10.2 eV energy goes to its first excited state (n = 2) from ground state (n = 1). \[\therefore \] Increase in momentum \[=\frac{h}{2\pi }\] \[=\frac{6.6\times {{10}^{-34}}}{6.28}=1.05\times {{10}^{-34}}J-s\]


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