- #1
wahaj
- 156
- 2
Homework Statement
a proton is confined in an infinitely high square well of length 10 fm. If the proton transitions from n=2 to ground state determine the energy and wavelength of the photon emitted
Homework Equations
[tex] E = \frac{h^2 n^2}{8mL^2} [/tex]
[tex] E = \frac{hc}{\lambda} \ \ or \ \ \lambda = \frac{hc}{E} [/tex]
The Attempt at a Solution
I need some one to tell me if I did this right.
energy at n = 2
[tex] E_1 = \frac{(6.626E-34)^2( 2^2) }{8(1.67E-27)(1E-14)^2} [/tex]
[tex] E_1 = 1.31E-12 [/tex]
energy at ground state
[tex] E_0 = \frac { (6.626E-34)^2}{8(1.67E-27)(1E-14)^2 } [/tex]
[tex] E_0 = 3.286E-13 [/tex]
energy of photon released
[tex] E = E_1 - E_0 [/tex]
[tex] E = 9.859E-13 \ J [/tex]
wavelength of photon
[tex] \lambda = \frac{(6.626E-34)(3E8)}{9.859E-13} [/tex]
[tex] \lambda = 2.016E-13 m = 0.2016 pm [/tex]
this would be a gamma ray.
So did I do this question right?