What is the smallest-wavelength line in the Balmer series? Is

Annabel Sullivan

Annabel Sullivan

Answered question

2022-05-14

What is the smallest-wavelength line in the Balmer series? Is it in the visible part of the spectrum?

Answer & Explanation

arbotsck8sg

arbotsck8sg

Beginner2022-05-15Added 22 answers

Formula for wavelength of Balmer series of Hydrogen atom is given as follows:
1 λ = R ( 1 n 1 1 n 2 )
here n 1 = 2 ,   n 2 = 3 , 4 , 5...
R is the Rydberg constant
λ is the wavelength
For shortest wavelength n 2 =
Given value of Rydberg constant is R = 1.097 × 10 7 m 1
Therefore,
1 λ = ( 1.097 × 10 7 ) ( 1 2 2 1 ( ) 2 ) λ = 364.6   n m
Hence smallest wavelength is 364.4 nm.
Yes, It lies in the visible region. All wavelengths of Balmer series lies in visible region.

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