A wavelength of 4.653 mu m is observed in a hydrogen spectrum for a transition that ends in the n_f = 5 level. What was n_i for the initial level of the electron?

Pellagra3d

Pellagra3d

Answered question

2022-10-19

A wavelength of 4.653 μ   m is observed in a hydrogen spectrum for a transition that ends in the n f = 5 level. What was n i for the initial level of the electron?

Answer & Explanation

wlanauee

wlanauee

Beginner2022-10-20Added 17 answers

Solution:
Given
wavelength of emitted electron λ = 4.653 μ   m
Final level n f = 5
Initial level n i = ?
We know that,
1 λ = R ( 1 n f 2 1 n i 2 )
Here
R = 1.09737 × 10 7   m 1
1 λ R = ( 1 n f 2 1 n i 2 ) 1 n i 2 = 1 n f 2 1 λ R 1 n i 2 = 1 5 2 1 4.653 × 10 6 × 1.097 × 10 7 n i 2 = 48.98 n i = 7
Initial level of the electron is 7

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