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## Homework Statement

Estimate the ground state energy level of a proton in the Al nucleus which has a potential energy of 100 MeV. Compare your answer to that calculated from the infinite square model. The radius of the Al nucleus is 5 fm.

**2. The attempt at a solution**

I thought that for the first part of the question this equation should be used

E

_{n}= n

^{2}*h

^{2}/(8*m*L

^{2})

However, I was getting nowhere close to the answer of 1.72 MeV. For the second part I figure that it would involve Schrodinger's equation and and this equation:

[tex]\psi[/tex] = (2/L)

^{1/2}*sin(n*pi*x/L)

Oddly enough using the first equation and using the diameter instead of the radius I got the right answer for the second part of the question of 2.05 Mev; however, I don't think that I solved it correctly.