A Particle Is Confined in a Three-Dimensional Box with L₁

question 19

Multiple Choice

A particle is confined in a three-dimensional box with L₁ = L, L₂ = 2L and L₃ = 3L. The energy levels of the particle are given by

• A) .
• B) .
• C) .
• D) .
• E) None of these is correct.

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Definitions:

Savings

The portion of income not spent on current expenditures or taxes, which is set aside for future use or investment.

Autonomous Consumption

Spending that does not depend on current income levels, such as basic necessities, implying that this consumption occurs even in the absence of income.

Disposable Income

represents the amount of money that households have available for spending and saving after income taxes have been accounted for.

Saving

The portion of income that is not spent on consumption but rather set aside for future use or emergencies, contributing to personal and national wealth.