The ratio of speed of an electron in ground state in Bohr’s first orbit of hydrogen atom

The Ratio Of Speed Of An Electron In Ground State Physics Question

The ratio of speed of an electron in ground state in Bohr’s first orbit of hydrogen atom to velocity of light in air (c ) is

Options

(a) e²/2ε₀hc
(b) 2e²ε₀/hc
(c) e³/2ε₀hc
(d) 2ε₀hc/e²

Correct Answer:

e²/2ε₀hc

Explanation:

Velocity of electron in nᵗʰ orbit = αcz / n
where α = (e²/4πε₀) [1 / c(h/π)] = e²/2ε₀hc
v / c = αz / n = (e² × 1) / 2ε₀hc × 1 = e²/2ε₀hc

Related Questions:

  1. A beam of light of wavelength 590 nm is focussed by a converging lens of diameter
  2. For a thermocouple, the neutral temperature is 270⁰C when its cold junction is at 20⁰C.
  3. If the radioactive dacay constant of radium is 1.07 x 10⁻⁴ year⁻¹, then its half-life
  4. The velocity of electromagnetic radiation in a medium of permittivity ε₀
  5. The ionisation potential of hydrogen-atom is -13.6 eV. An electron in the groundstate

Topics: Atoms and Nuclei (136)
Subject: Physics (2479)

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

NEETLab Mobile App

Share this page with your friends

Be the first to comment

Leave a Reply

Your email address will not be published.


*