BVP Medical BVP Medical Solved Paper-2007

  • question_answer
    If the energy of a hydrogen atom in nth orbit is \[\Rightarrow \] then energy in the nth orbit of a singly ionized helium atom will be

    A)                  \[s=\frac{\frac{1}{2}\times m\times {{(10)}^{2}}}{\mu mg}\]                                     

    B)                  \[=\frac{50}{0.5\times 10}=10m.\]

    C)                  \[F=\mu R\]                                     

    D)                  \[R=w=250N.\]

    Correct Answer: C

    Solution :

                    Key Idea:  Atomic number of helium is twice that of hydrogen. When e, m are the charge and mass of electron in the nth orbit, h is Plancks constant and Z is the atomic number, then the energy of the electron in the electron in the nth orbit is                 \[E=-\frac{M\,{{Z}^{2}}\,{{e}^{4}}}{8{{\varepsilon }_{o}}{{h}^{2}}}.\frac{1}{{{n}^{2}}}\] Given,  \[{{Z}_{H}}=1,\,\,{{Z}_{He}}=2\] \[\therefore \]  \[\frac{{{E}_{H}}}{{{E}_{He}}}=\frac{Z_{H}^{2}}{Z_{He}^{2}}=\frac{1}{4}\] \[\Rightarrow \]               \[{{E}_{He}}=4{{E}_{H}}\] Given,        \[{{E}_{H}}={{E}_{n}}\]                 \[{{E}_{He}}=4{{E}_{n}}\]


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