The electron in a hydrogen atom, originally in level n = 8, undergoes a transition to a lower level by emitting a photon of wavelength 3745 nm. What is the final level of the electron? (c = 3.00 x 108m/s, h = 6.63 x 10−34 J • s, RH = 2.179 x 10−18 J) a. 5
b. 6
c. 8
d. 9
e. 1

The level is  

Explanation:

From the question we are told that

  The level of the hydrogen atom is  

  The wavelength of the photon is  

Generally the wave number is mathematically represented as

Now this wave number can also be mathematically represented as

This implies that

 So  

   Here is the Rydberg constant, with a value  

and    are the principal quantum levels

 substituting values

atomic mass = 39

number of neutrons = 20

number of protons= 19

electronic configuration = 1s2 2s2 2p6 3s2 3p6 4s1

the number of electron in first shell = 2

number of electrons in n=3 shell = 8