Question
Medium
Solving time: 3 mins
The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the first excited state. The ratio of the respective wavelengths of the photons emitted in this process is
(a)
(b)
(c)
(d) 9/7
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Text solutionVerified
Exp. (a)
Wavelength of emitted photon as an electron transits from an initial energy level to some final energy level is given by Balmer's formula,
where, Rydberg constant.
In transition from to , we have
In transition from to , we have
So, from Eqs. (i) and (ii), the ratio of is
Wavelength of emitted photon as an electron transits from an initial energy level to some final energy level is given by Balmer's formula,
where, Rydberg constant.
In transition from to , we have
In transition from to , we have
So, from Eqs. (i) and (ii), the ratio of is
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Question Text | The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the first excited state. The ratio of the respective wavelengths of the photons emitted in this process is (a) (b) (c) (d) 9/7 |
Updated On | Apr 5, 2023 |
Topic | Atoms |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 Video solution: 6 |
Upvotes | 624 |
Avg. Video Duration | 5 min |