Calculate the energy of the first excited state of an electron confine

Question

Calculate the energy of the first excited state of an electron confined to a one-dimensional box with $L = 2 \times 10^{-10} \, \text{m}$ . (3 + 2 = 5 marks)
(b) Define degeneracy and calculate the degeneracies of the first five energy levels for a particle of mass $m$ confined to a cubic box of edge length $L$ .

23 Jan 2025

Answer :

Word Count : 366

We will solve the problem numerically, step by step. --- ### (a) Energy of the First Excited State in a 1D Box For a particle confined in a 1D box of length $ L $, the energy levels are given by the particle in a box equation: \[ E_n = \frac{n^2 h^2}{8mL^2} \] where: - $ n $ is the quantum number ($ n = 1,2,3, \dots $), - \( h = 6.626 ______ ________ ________ _______ ___ _________ _________ __________ _____ ________.
___ ________ ___ _________ ______ _____.
___ _____ _____ ___ ____ ____ __________ ________ __________ _________ _______ ___.
__________ _____ ______ __________ ____ ______ ________ ____ _______ _________ _________ ____.
___ ____ ___ ____ ____.
______ ________ _______ ___ ______ __________ ______ _____.
_____ _______ ________ ____ ________ ________ _______ ________ ______ ______ ___ ____.
______ ______ __________ ______ ____ _________ ________ ______ ___ _________.
_________ ________ ______ _______ ______ __________.
________ _______ _____ _______ _______ _________ _____.
___ _______ ________ ____ _______ ______ __________ _____ ________ ______ ______ _____.
___ _____ ________ ___ ____.
_________ ____ ______ ____ ___ __________ ________ _____ ____ __________.
__________ __________ __________ _________ _______ _____ __________ __________ ___ __________ __________.
_______ ______ ___ __________ __________ _________ ________ _____.
_______ ____ ________ _______ ________.
________ ______ ___ _______ ______ _____ _________ _____ ______ _________ _________.
______ ________ _________ ___ _______ ___ ____ ___ __________ ______.
_____ ________ ________ _____ ____ ___ _____ _______ __________.
__________ _______ ______ __________ _________ __________ __________ _________ ______ _________ __________ __________.
__________ ____ _________ _________ ___ ____.
_______ _________ __________ ____ _____ ___ _______ _____ _____ ______ _________.
_________ ________ __________ _____ _______ _____ ____ _______ ________ _________.
__________ ______ __________ _____ ____ _________ ________ ____ _________.
____ ____ ____ __________ ______ __________ ___ ___ _________ ___ _________.
_____ ______ __________ ___ ____ _________ _____ ______ _____.
_____ __________ __________ ___ ___ ___ _____ ______ ____ ____ ________ ___.
_______ ____ __________ ________ ____.
__________ _____ ___ _______ ___ ___ ________ ____ ______.
____ ___ _______ ____ ________ ________ ________ __________ ____.
________ ______ ____ ___ _______ _________ ______ ___ _______.
__________ _____ ________ _________ ____ ______ ___ ____ ___ _____ ________ __________.
Get Full Answer on WhatsApp

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★