Question

Review | Constants A proton is bound in a square well of width 3.8 fm = 3.8 x 10–15 m. The depth of the well is six times the ground-level energy E1-IDw of the corresponding infinite well. - Part A For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Outside a finite well. If the proton makes a transition from the level with energy E1 to the level with energy Ez by absorbing a photon, find the wavelength of the photon. Express your answer in meters. IVO AQ R o a? Submit Request Answer

Answer 1

As given the phonton make transition from the level with energy E1 to the level with energy E3 ​​​​​​. The wavelength of photon is calculated by finding the difference in the energy of these levels.
Ground level energy for the infinite deep well (IDW) is given 0 E - IDW = ²hh 2 m L² ħ = h ERATUPC ha Planck's constant = 6.626x10 -34 5. see m = mass of proton ² 1.67 X 10 -27 kg . = width of square well = 3.8 x 10 m Istix T 3.14 T EL-IDW = T[2.(1.055X10-345.5) 261.67X10-27/kg) (3.8X10 15 mi)? on solving - 1 EX- IDW = 21275 X 10-12 given the depth of will is six times the ground level energy E-IDW to death of well (o) = 6E-1DW X2 6 X2.275 X 10-12 Tuo = 13.65x10-12 J

DATE: 1 PAGE NO.: the energy levels can be calculated from - et = 0.625 El-IDW E, - 2.43 €1-1DW Ez = 5.09 E-Iow the value of Energy leuels - Ę = 0.625 €3.5DW = (0.625) (2.275x10-25). E = 1.42x10-125 E, = 2.43 €7-10W = (2.43) (2.275X6025) E = 5.582 X10-125 Ez = 5.09 E-CDW = (5:09) (2.275X10-2J) G = $:5#9X101125 the photon makes a transition from Level with energy be to the level with energy E. Eg - Ed = 111.579X10-12 - 1.42X10-2)5 IDE = 10.159 X10-125 Scanned with CamScanner

PAGE NO.: & for wauelength DE = he C= speed of light da waulength of photon h= Planck's constant bo hc ДЕ : (6.626X10-34 Js) (3 x 108 m/ see) (10.159X10-12J) 19.878 x 10-26 10.159x10-12 de 1.956 X 10-14 m d = 1.956X1014 m I waueleng the of photon CS Scarified with