6. a. find the excitation energy from the ground level to the third excited level for an electron confined to a box that has a width of 0.125 nm. B. the electron makes a transition from the n

Complete Question

(A) Find the excitation energy from the ground level to the third excited level for an electron confined to a box that has a width of 0.125 nm .

(B) The electron makes a transition from the n=1 to n= 4 level by absorbing a photon. Calculate the wavelength of this photon.

A

B

Explanation:

Considering question a

From the question we are told that

 The width of the box is  

Generally the energy level of a particle confined to a box is mathematically represented as

Generally the excitation energy is mathematically represented as

From the question    

   Here h  is the Planck's constant with a value  of  

         m is the mass of  electron with value  

So

=>    

=>    

=>    

Considering question b

Generally the energy level of a particle confined to a box is mathematically represented as

Generally the excitation energy is mathematically represented as

From the question  

 Here h  is the Planck's constant with a value  of  

         m is the mass of  electron with value  

So

=>      

=>        

=>        

Gnerally the wavelength is mathematically represented as

=>      

=>      

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