Chemistry - Atomic Structure Question with Solution | TestHub

ChemistryAtomic StructureBohr's Atomic ModelEasy2 minPYQ_2023

ChemistryEasymatching list

If the radius of the first orbit of hydrogen atom is $a_{0}$ , then de Broglie’s wavelength of electron in $3^{rd}$ orbit is

Options:

Answer:

Solution:

According to Bohr's angular momentum equation,
$m v r = \frac{n h}{2 π}$
The angular momentum equation for third orbit is
$m v r = \frac{3 h}{2 π}$
$\frac{2 π r}{3} = \frac{h}{m v}$
According de Broglie's equation
$λ = \frac{h}{m v}$
$∴ λ = \frac{2 π 9 a_{0}}{3} = 6 π a_{0}$

Stream:JEESubject:ChemistryTopic:Atomic StructureSubtopic:Bohr's Atomic Model

⏱ 2mℹ️ Source: PYQ_2023

Doubts & Discussion

Loading discussions...