2. Questions Bank
  3. JEE Main & Advanced
  4. Physics
  5. Atomic Physics

JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    The energy of electron in the nth orbit of hydrogen atom is expressed as \[{{E}_{n}}=\frac{-13.6}{{{n}^{2}}}eV\]. The shortest and longest wavelength of Lyman series will be [Pb. PET 2003]

    A)            910 Å, 1213 Å                       

    B)            5463 Å, 7858 Å

    C)            1315 Å, 1530 Å                     

    D)            None of these

    Correct Answer: A

    Solution :

                       \[\frac{1}{{{\lambda }_{\max }}}=R\,\left[ \frac{1}{{{(1)}^{2}}}-\frac{1}{{{(2)}^{2}}} \right]\] Þ \[{{\lambda }_{\max }}=\frac{4}{3R}\approx 1213\,{\AA}\]            and \[\frac{1}{{{\lambda }_{\min }}}=R\,\left[ \frac{1}{{{(1)}^{2}}}-\frac{1}{\infty } \right]\] Þ \[{{\lambda }_{\min }}=\frac{1}{R}\approx 910\,{\AA}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner