Physics. The Bohr hydrogen atom

Question

Determine all possible wavelength of photons that can be emitted from the n=4 state of a hydrogen atom.

Answer 1

I will set this up for you and you can crunch out the numbers.  Use the equation

 

1/λ = R(1/n_f² - 1/n_i²) ⇒ λ = 1 / [R(1/n_f² - 1/n_i²)]

 

λ = wavelength

 

R = Rydberg constant = 1.097 x 10⁷ m^-1

 

n_f = final quantum state = 1, 2, or 3 in this problem

 

n_i = initial quantum state = 4 in this problem

 

λ = 1 / [R(1/n_f² - 1/16)] m

 

Now plug in n_f = 1, 2, and 3 and you will get the 3 allowable wavelengths in meters.  You can finish from here.