For a particle in a box of length L, write the expression for the energy levels, En, and then write a similar expression E'n for the energy levels when the length of the box has increased to 1.1L (that is, an increase by 10 per cent). Calculate (E'n-En)/En, the fractional change in the energy that results from extending the box.

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter4: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 39P: Chapter 3 introduced the concept of a double bond between carbon atoms, represented by C=C , with a...
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For a particle in a box of length L, write the expression for the energy levels, En, and then write a similar expression E'n for the energy levels when the length of the box has increased to 1.1L (that is, an increase by 10 per cent). Calculate (E'n-En)/En, the fractional change in the energy that results from extending the box.

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