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A Particle of Mass M Is Confined in a Two-Dimensional

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A particle of mass m is confined in a two-dimensional box that has sides Lx = L and Ly = 2L.By what factor is the energy of the 3rd excited state larger than the energy of the ground state?


Definitions:

Cross-sectional Area

The area of an object or space as seen from a cut through the object, typically perpendicular to its longest dimension.

Volume

Volume is a measure of the amount of space that an object or substance occupies, commonly expressed in cubic units.

Maximum Sediment Grain Size

The largest diameter of individual grains in a sedimentary deposit, indicating the energy of the transporting medium.

Canyon

A deep gorge, typically with a river flowing through it, carved over time by the erosion of water and weathering processes.

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