In Bohr theory, if En′,Kn′,Vn and rn denote total energy, kinetic energy, potential energy and radius of nth orbit respectively, which of the following is ( are) correct?
A
VnKn=2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
If rn∝Exn′ then x=−1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Angular momentum in lowest orbit =0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
If 1rn∝Zy, then y=1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct options are AVnKn=2 C If 1rn∝Zy, then y=1 D If rn∝Exn′ then x=−1 From Bohr's Theory;
Kn=Ze29πϵr
Vn=−Ze24πϵr
En=−Ze28πϵr
Newton's second law; mv2r=Ze28πϵr
Angular Momentum = nh2π
Hence, Options "A", "B" & "D" are correct answers.