Ch.7 - Quantum MechanicsWorksheetSee all chapters
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Ch.1 - Intro to General Chemistry
Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds

Solution: In a one-dimensional particle in a box, for  n = 6, how many wavelengths equals the size of the box?1.) 12.) 2.53.) 64.) 35.) 12

Solution: In a one-dimensional particle in a box, for  n = 6, how many wavelengths equals the size of the box?1.) 12.) 2.53.) 64.) 35.) 12

Problem

In a one-dimensional particle in a box, for  n = 6, how many wavelengths equals the size of the box?

1.) 1

2.) 2.5

3.) 6

4.) 3

5.) 12

Solution

We are being asked to determine how many wavelengths equals the size of the box in a one-dimensional particle in a box where n = 6.


Let’s draw the box where n = 6. We can think of the “n value” as the nodes (crests and troughs) of the wave.

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