A proton is confined in an infinite square well of width 10 fm. (The nuclear potential that binds protons and neutrons in the nucleus of an atom is often approximated by an infinite square well potential). Calculate the energy (in MeV) of the photon emitted when the proton undergoes a transition from the first excited state (n = 1) to the ground state (n = 1). In what region of the electromagnetic spectrum does this wavelength belong?

First Question

Second  Question

   The  wavelength is for an X-ray  

Explanation:

From the question we are told that

     The  width of the wall is  

     The  first excited state is  

     The  ground state is  

Gnerally the  energy (in MeV) of the photon emitted when the proton undergoes a transition is mathematically represented as

Here  h is the Planck's constant with value  

         m is the mass of proton with value

So    

=>        

Generally the energy of the photon emitted is also mathematically represented as

=>          

=>          

=>        

Generally the range of wavelength of X-ray is  

So this wavelength is for an X-ray.

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