1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# How many revolutions does an electron complete in one second in the first orbit of hydrogen atom?

A
6.5 x 1015
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
6.5 x 1013
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1000
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
6.5 x 1014
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B 6.5 x 1015The orbital frequency is given by:ν=v2πr .....................(1)The velocity of revolving electron is:v=e22nhϵ0The radius of an orbit of revolution of electron is:r=n2h2ϵ0πme2Using these values in (1) we get:ν=e22nhϵ02π(n2h2ϵ0πme2)ν=12π(e22nhϵ0)(πme2n2h2ϵ0)ν=me44ϵ20n3h3For n=1,ν=9.1×10−31×(1.6×10−19)44×(8.85×10−12)2×13×(6.6×10−34)3ν=59.63×10−10791179.3×10−126ν=6.539×1015Hz

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Characteristics of Bohr's Model
PHYSICS
Watch in App
Join BYJU'S Learning Program