wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Calculate the ratio of the velocity of light to the velocity of electron in the first orbit of a hydrogen atom. (h=6.624×1027ergsec;me=9.108×1028g;rn=1=0.529×108cm)

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
137
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
225
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 137
According to Bohr's postulate, velocity of an electron in Bohr orbit can be given by:
vn=2.189×106Zn m/s
Since for H, Z = 1. putting up the values
vn=2.189×106 m/s
The ratio of the velocity of light (c) to the velocity of electron in the first orbit of a hydrogen atom (v)
cv=3×1082.189×106=137

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon