For the hydrogen atom, the Balmer Series is the series of line spectra produced when an election fal

Davin Sheppard

Davin Sheppard

Answered question

2022-05-03

For the hydrogen atom, the Balmer Series is the series of line spectra produced when an election falls from any higher energy level and has n=2 as its final energy state. The longest wavelength is the Balmer Series is 656.7 nm. what was the initial principal energy level (n) associated with this photon

Answer & Explanation

Brennen Davies

Brennen Davies

Beginner2022-05-04Added 25 answers

Balmer Series is the series of line spectra produced when an election falls from any higher energy level to lower energy level n=2.
Wavelength of balmer series given by
1 λ = R ( 1 4 1 n 2 )
R=Rydberg constant
R = 1.09678 × 10 7   m 1
n=3,4,5,6......... for Balmer series
Given
Longest Wavelength of balmer series is
λ = 656.7   n m
λ = 656.7 × 10 9
From the equation
1 λ = R ( 1 4 1 n 2 ) λ = 656.7 × 10 9 R = 1.09678 × 10 7 m 1 1 656.7 × 10 9 × 1.0967 × 10 7 = ( 1 4 1 n 2 ) 1 7.202 = 1 4 1 n 2 1 n 2 = 1 4 1 7.202 1 n 2 = 0.111160 n 2 = 8.996 n = 2.999 3
So initial principle energy level n=3 assosiated with this photon which wavelength is 656.7 nm in Balmer series

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Atomic Physics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?