What is the wavelength of the H-alpha line in the

Annabel Sullivan

Annabel Sullivan

Answered question

2022-05-17

What is the wavelength of the H-alpha line in the Balmer series?

Answer & Explanation

Blaine Andrews

Blaine Andrews

Beginner2022-05-18Added 20 answers

Here, corresponding to the Bohr model of the atom, electrons exist in quantized energy levels surrounding the atom's nucleus. These energy levels are defined by the principal quantum number n = 1, 2, 3, .... Electrons may only exist in these states, and may only transit between these states.
The set of transitions from n 3 to n = 2 is called the Balmer series.
n=3 to n=2 is called Balmer−alpha or H−alpha,
So, find the longest wavelength of balmer series of H−alpha atom is given by, 1 λ = R ( 1 n 1 2 1 n 2 2 )Where,
R = Rydberg constant = 1.097 × 10 7 m 1
n 1 = 2 n 2 = 3
So,
1 λ = R ( 1 2 2 1 3 2 ) = 5 R 36 λ = 36 5 × 1.097 × 10 7 = 6.563 × 10 7 λ = 656.3   n m

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