CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

Find the de Broglie wavelength (in m) of an electron moving in the second Bohr orbit of hydrogen.

A
3.34×1010
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4.68×1010
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5.67×1010
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
6.67×1010
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 6.67×1010
We know,
Velocity of an electron in Bohr's orbit is given by,
v=2.18×106×Zn m/sec

So, velocity of an electron in Bohr's second orbit of hydrogen is,
v=1.09×106 m/sec

Again,we know,
Mass of electron (me)=9.1×1031 kgPlanck's constant (h)=6.62×1034 Js
de Broglie wavelength (λ)=hmv=6.62×10349.1×1031×1.09×106 =6.67×1010 m

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
de Broglie's Hypothesis
CHEMISTRY
Watch in App
Join BYJU'S Learning Program
CrossIcon