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A hydrogen atom is in the ground state. It absorbs energy and makes a transition to...

A hydrogen atom is in the ground state. It absorbs energy and makes a transition to the n = 6 excited state. The atom returns to the ground state by emitting two photons, one in dropping to n = 5 state, and one in further dropping to the ground state. What are the photon wavelengths of (a) the first and (b) the second transitions?

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Answer #1

a) Since the Hydrogen is first in ground state so , n1=6  and  n2=1(ground state)
let during this, the photon have the wavelength
The expression for the emission spectrum of hydrogen is given by:
  
putting the available value in the equation given above we have:



  

or

b) Here, n1=6 and n2=5
Putting these values in the equation of expression for hydrogen spectrum:
  


  
  
  
  
      

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