CBSE Class 12 Physics 2022 Term 2 Delhi Set 3 Solved Paper

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Question : 2
Total: 4
An electron in a hydrogen atom makes transitions from orbits of higher energies to orbits of lower energies. 3
(i) When will such transitions result in (a) Lyman (b) Balmer series?
(ii) Find the ratio of the longest wavelength in Lyman series to the shortest wavelength in Balmer series.
Solution:  
(i) Emission spectrum of Hydrogen atom: Lyman and Balmer series:

Lyman Series: When electrons will jump from higher energy orbit to n=1 orbit.
Balmer Series: When electrons will jump from higher energy orbit to n=2 orbit.
(ii) Longest wavelength of Lyman series:
1
λL
=RH[
1
12
1
22
]
=RH[
3
4
]

Shortest wavelength of Balmer series:
1
λB
=RH[
1
22
1
2
]
=RH[
1
4
]

Now,
λL
λB
=
[
1
4
]
[
3
4
]
=
1
3
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