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A particle is confined in a 1D box (0<x<L). The ratio of the energies of the particle in state n=3 to state n=2 isa.9/4b.1/4c.4

Question

A particle is confined in a 1D box (0<x<L). The ratio of the energies of the particle in state n=3 to state n=2 isa.9/4b.1/4c.4
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Solution 1

The energy of a particle in a 1D box is given by the equation E_n = n^2 * h^2 / (8mL^2), where n is the state, h is Planck's constant, m is the mass of the particle, and L is the length of the box.

For state n=3, the energy E_3 = 3^2 * h^2 / (8mL^2) = 9h^2 / (8mL^2).

For state n=2, the energy E_2 Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

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