A particle is in a box of length L. Suddenly, the length of the box is increased to 2L. What happens to the energy levels as shown? (a) nothing; they are unaffected. (b) They move farther apart. (c) They move closer together. 4E4 = 16E,E, = 9E2-E, = 4E,EE=0The ground-state energy,which is the lowest allowedenergy, is E = h° /8ML°.Figure 40.5 Energy-level dia-gram for a particle confined to aone-dimensional box of length L.ENERGY

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4 E4 = 16E, E, = 9E 2- E, = 4E, E E=0 The ground-state energy, which is the lowest allowed energy, is E = h° /8ML°. Figure 40.5 Energy-level dia- gram for a particle confined to a one-dimensional box of length L. ENERGY

4 E4 = 16E, E, = 9E 2- E, = 4E, E E=0 The ground-state energy, which is the lowest allowed energy, is E = h° /8ML°. Figure 40.5 Energy-level dia- gram for a particle confined to a one-dimensional box of length L. ENERGY

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter40: Quantum Mechanics

Section: Chapter Questions

Problem 20P

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Question

A particle is in a box of length L. Suddenly, the length of the box is increased to 2L. What happens to the energy levels as shown? (a) nothing; they are unaffected. (b) They move farther apart. (c) They move closer together.

4
E4 = 16E,
E, = 9E
2-
E, = 4E,
E
E=0
The ground-state energy,
which is the lowest allowed
energy, is E = h° /8ML°.
Figure 40.5 Energy-level dia-
gram for a particle confined to a
one-dimensional box of length L.
ENERGY

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