Question

Calculate the minimum wave length an electron can posses in a infinitely deep potential well of width 4nm

Answer 1

Explanation:

Given Calculate the minimum energy an electron can possess in a infinitely deep potential well of width 4nm

• So we have a = 4 nm
•                    a = 4 x 10^-9 m
• The energy of an electron is given by
•                                        E = n^2 h^2 / 8 ma^2 where n = 1,2,……
• So the minimum energy of the particle is got by taking n = 1
•       So we have E = n^2 h^2 / 8 m a^2 where h is planck’s constant
•                            =  1^2 x (6.625 x 10^-34)^2 / 8 x 9.11 x 10^-31 x (4 x 10^-9)^2
•                               = 43.890625 x 10^-68 / 1166.08 x 10^-49
•                                 = 0.037639 x 10^-19
•                                                    = 0.037639 x 10^-19 / 1.6 x 10^-19
•                                               E = 0.02352 eV

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https://brainly.in/question/41287956