Write the quantum condition suggested by Bohr for the angular momentum of the electron.
(N/A) According to Bohr's second postulate,the electron revolves around the nucleus only in those orbits for which its angular momentum is an integral multiple of $\frac{h}{2\pi}$.
Mathematically,this condition is expressed as:
$L = mvr = \frac{nh}{2\pi}$
Where:
$L$ is the angular momentum of the electron.
$m$ is the mass of the electron.
$v$ is the velocity of the electron in its orbit.
$r$ is the radius of the orbit.
$n$ is the principal quantum number $(n = 1, 2, 3, ...)$.
$h$ is Planck's constant.
Mathematically,this condition is expressed as:
$L = mvr = \frac{nh}{2\pi}$
Where:
$L$ is the angular momentum of the electron.
$m$ is the mass of the electron.
$v$ is the velocity of the electron in its orbit.
$r$ is the radius of the orbit.
$n$ is the principal quantum number $(n = 1, 2, 3, ...)$.
$h$ is Planck's constant.
Explore More
Similar Questions
The frequency of the $1^{st}$ line of the Balmer series in the ${H_2}$ atom is ${\nu _0}$. What is the frequency of the corresponding line emitted by a singly ionized ${He^+}$ atom?
Easy
View SolutionBohr’s second postulate implies the quantisation of:
$A$ diatomic molecule has moment of inertia $I$. By applying Bohr's quantization condition,its rotational energy in the $n^{\text{th}}$ level is $[n \geq 1]$ $(h = \text{Planck's constant})$
The frequency of revolution of an electron in the $n^{th}$ Bohr orbit is $v_n$. The graph between $\log n$ and $\log (v_n / v_1)$ may be
$A$ Hydrogen atom and a $Li^{++}$ ion are both in the second excited state. If $l_H$ and $l_{Li}$ are their respective electronic angular momenta,and $E_H$ and $E_{Li}$ are their respective energies,then:
MediumIIT 2002
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo