The transition 4-->3 has the longest wavelength.
What is wavelength?
- One of a group of six named series that describe the spectral line emissions of the hydrogen atom is the Balmer series, often known as the Balmer lines in atomic physics.
- The Balmer formula, an empirical equation discovered by Johann Balmer in 1885, is used to calculate the Balmer series.
- Four wavelengths in the visible spectrum of hydrogen light—410 nm, 434 nm, 486 nm, and 656 nm—are associated with photon emissions by excited electrons transitioning to the quantum level denoted by the primary quantum number n = 2.
- With wavelengths less than 400 nm, a number of conspicuous ultraviolet Balmer lines can be observed.
- As they get closer to the UV limit of 364.5 nm, the number of these lines becomes an infinite continuum.
Longest wavelength means that lowest energy.
The transition energy of the H atoms is given by the following expression-
[tex]1/l = R_{H}{ (1/n^{2} _{1} ) - (1/n^{2} _{2} )}[/tex]
l is the wavelength, RH is tge Rydberg constant, n1 and n2 are the energy levels (n₁ < n₂)
So, the wavelength will be the the longest when the term in parentheses is the smallest.
So for the transition 4-->3,
The term in parentheses = (1/9) - (1/16) = 0.05
For 2-->1 = 1 - (1/4) = 0.75
For 3-->2 = (1/4) - (1/9) = 0.14
So, the transition 4-->3 has the longest wavelength
To learn more about wavelength, refer to
https://brainly.com/question/15046121
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