An Electron Is Confined in a Two-Dimensional Box Where U(x,y)=

question 24

Multiple Choice

An electron is confined in a two-dimensional box where U(x,y) = 0 for x = 0 to L,and y = 0 to 3L,and U(x,y) = infinity outside these boundaries.If L = 0.5 nm then calculate the energy of the first doubly degenerate levels.

• A)9.9 eV
• B)11.0 eV
• C)8.5 eV
• D)7.7 eV
• E)6.2 eV

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Definitions:

Independent Variable

The variable in an experiment that is manipulated to observe its effect on a dependent variable.

Internal Validity

The extent to which a study can demonstrate a cause-and-effect relationship between variables, free from external influence.

Random Assignment

A process used in experimental designs to assign subjects randomly to either the treatment group or the control group, ensuring that each participant has an equal chance of being placed in any group.

Equivalent

Equal in value, function, or meaning.