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:

Independent Random Samples

Samples drawn from a population in such a way that each individual sample is obtained independently and from the same distribution.

Confidence Interval

A range of values derived from sample data that estimates the range within which a population parameter is believed to lie with a certain level of confidence.

Pooled Estimator

A method used to estimate a common mean or variance from two or more samples, especially in t-tests involving independent samples with assumed equal but unknown variances.

Confidence Interval

A type of estimate computed from the statistics of observed data, which might contain the true value of the unknown population parameter.