Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Physics
Chapter
Atomic Physics

BITSAT 2020 · Physics · Atomic Physics

The energy of electron in the nth orbit of hydrogen atom is...

The energy of electron in the nth orbit of hydrogen atom is expressed as En=−13.6\mathrmn2eV\mathrm{E}_{\mathrm{n}}=\frac{-13.6}{\mathrmn^{2}} \mathrm{eV}. The shortest and longest wavelength of Lyman series will be

Options

  1. A910A~,1213A~910 Ã, 1213 Ã
  2. B5463A~,7858A~5463 Ã, 7858 Ã
  3. C1315A~,1530A~1315 Ã, 1530 Ã
  4. DNone of these

Correct answer

A. 910A~,1213A~910 Ã, 1213 Ã

Step-by-step solution

1λmax⁡=R[1(l)2−1(2)2]⇒λmax⁡=43R≈1213A~…\frac{1}{\lambda_{\max }}=\mathrm{R}\left[\frac{1}{(\mathrm{l})^{2}}-\frac{1}{(2)^{2}}\right]\Rightarrow \lambda_{\mathrm\max}=\frac{4}{3 \mathrm{R}} \approx 1213 Ã… and 1λmin⁡=R[1(1)2−1∞]⇒λmin⁡=1R≈910A~…\frac{1}{\lambda_{\min }}=\mathrm{R}\left[\frac{1}{(1)^{2}}-\frac{1}{\infty}\right] \Rightarrow \lambda_{\min }=\frac{1}{\mathrm{R}} \approx 910 Ã…
Practice Atomic Physics on Quantrex Academy →

More from Atomic Physics

Which of the following transitions of He^ + ion will give rise to spectral line which has… BITSAT 2024The ratio of the shortest wavelength of Balmer series to the shortest wavelength of Lyman… BITSAT 2024The minimum excitation energy of an electron revolving in the first orbit of hydrogen is BITSAT 2024The angular momentum for the electron in Bohr's orbit is L. If the electron is assumed to… BITSAT 2023A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The… BITSAT 2023The stopping potential (V_0) versus frequency (v) of a graph for photoelectric effect in… BITSAT 2022The significant result deduced from the Rutherford's scattering experiment is that BITSAT 202112 eV energy is given to electron in third orbit of H -atom, then final energy of… BITSAT 2019 Full Atomic Physics list All BITSAT PYQs