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

An electron of a stationary hydrogen atom makes a transition from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be (m is the mass of the electron, R is the Rydberg constant and h is the Planck's constant)

A
24hR25m
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
25hR24m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
25m24hR
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
24m25hR
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 24hR25m
According to Rydberg formula
1λ=R[1nf21ni2]
Here, nf=1, ni=5
1λ=R[112152]=R[11125]
=2425R
According to conservation of linear momentum, we get
Momentum of photon = Momentum of atom
hλ=mv
or v=hmλ=hm(24R25)=24hR25m

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Wave Nature of Light
CHEMISTRY
Watch in App
Join BYJU'S Learning Program
CrossIcon