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KVPY Sample Paper KVPY Stream-SX Model Paper-13

  • question_answer
    The ground state energy of hydrogen atom is \[-\,13.6\] Consider an electronic state \[\Psi \]of \[\text{H}{{\text{e}}^{+}}\] whose energy, quantum number and magnetic quantum number are \[-\,3.4\] eV, 2 and 0, respectively Which of statement(s) is (are) true for the state\[\Psi \] ?

    A) The nuclear charge experienced by the electron in this state is less than 2e, where e is the magnitude of the electronic charge

    B) It has 3 radial nodes

    C) It is a 4d state

    D) It has 2 angular nodes

    Correct Answer: C , D

    Solution :

    \[{{\text{E}}_{n,}}2=\,-3.4e\text{V}=\,-\,13.6\times \frac{4}{{{n}^{2}}}\] \[l=2,\]  \[\frac{1}{{{n}^{2}}}=13.6\times \frac{1}{4}\times \frac{1}{13.6\times 4}\] \[m=0,n=4;l=2\] No. of Radial Node \[=\,n-l-1\] \[=\,4\,-2\,-1\,=\,1.\]

    Solution :

    Same as above


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