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

NEET 2020 · Physics · Atomic Physics

The total energy of an electron in the n ^ th stationary orbit of...

The total energy of an electron in the nth{n}^{\text{th}} stationary orbit of the hydrogen atom can be obtained by

Options

  1. AEn=13.6n2eV{E}_{n} = \dfrac{13 . 6}{{n}^{2}}eV
  2. BEn=−13.6n2eV{E}_{n} = - \dfrac{13 . 6}{{n}^{2}}eV
  3. CEn=−1.36n2eV{E}_{n} = - \dfrac{1 . 36}{{n}^{2}}eV
  4. DEn=−13.6×n2eV{E}_{n} = - 13 . 6 \times {n}^{2}eV

Correct answer

B. En=−13.6n2eV{E}_{n} = - \dfrac{13 . 6}{{n}^{2}}eV

Step-by-step solution

Bohr’s Postulates are as follows: The electron revolves around the nucleus at stable orbits without radiating energy. The stable orbits are called stationary orbits. These orbits are unique and have different radii. The electron cannot orbit in between two stationary orbits, meaning the orbits are uniquely determined. The stationery orbits are obtained by equating the angular momentum of the electron to an integral multiple of reduced Planck’s constant, mvr=nh2πmvr = \dfrac{nh}{2\pi}, where vv is the velocity of the electron in the nth orbit and rr is the radius of the nth{n}^{th} orbit. The orbits have definite energies called the energy shells or energy levels. For hydrogen, En=−13.6n2eV{E}_{n} = - \dfrac{13 . 6}{{n}^{2}}eV.
Practice Atomic Physics on Quantrex Academy →

More from Atomic Physics

The energy levels of certain atom are represented in the following figure. During the… MHT CET Medical 2026The ratio of ionization energy of a hydrogen atom in fifth excited state to second… MHT CET Medical 2026The wavelength of radiation emitted is ' λ ' when an electron jumps from second to first… MHT CET Medical 2026The angular momentum of an electron in Bohr's hydrogen atom having energy -0.544 eV is (h… MHT CET Medical 2026An electron of mass ' m_e ' and charge ' e ' revolving around the nucleus in n^ th orbit… MHT CET Medical 2026The ratio of angular frequency (ω ) of an electron to the total energy ( E) of an… MHT CET Medical 2026The ratio between the areas of Bohr's first three orbits of the hydrogen atom are MHT CET Medical 2026A hydrogen atom in its ground state is irradiated by light of wavelength 1026\ Å . The… MHT CET Medical 2026 Full Atomic Physics list All NEET PYQs