Write the formula for the orbital radius of the electron in the atom based on the Bohr atomic model.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) According to the Bohr atomic model, the radius of the $n^{th}$ orbit of an electron in a hydrogen-like atom is given by the formula:
$r_n = \frac{n^2 h^2 \epsilon_0}{\pi m Z e^2}$
Where:
$n$ is the principal quantum number (orbit number),
$h$ is Planck's constant,
$\epsilon_0$ is the permittivity of free space,
$m$ is the mass of the electron,
$Z$ is the atomic number,
$e$ is the elementary charge.

Explore More

Similar Questions

For an electron moving in the $n^{\text{th}}$ Bohr orbit,the de Broglie wavelength of the electron is:

According to Bohr's theory,the expressions for the kinetic and potential energy of an electron revolving in an orbit are given respectively by:

According to the classical electromagnetic theory,calculate the initial frequency of the light emitted by the electron revolving around a proton in a hydrogen atom.

An electron from various excited states of a hydrogen atom emits radiation to return to the ground state. Let $\lambda_n$ and $\lambda_g$ be the de Broglie wavelength of the electron in the $n^{th}$ state and the ground state,respectively. Let $\Lambda_n$ be the wavelength of the emitted photon in the transition from the $n^{th}$ state to the ground state. For large $n$,which of the following relations holds true ($A, B$ are constants)?

If the radius of the first Bohr orbit in a hydrogen atom is $0.53 \, \mathring A$,then the radius of the third Bohr orbit will be ....... $\mathring A$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo