In a one-dimensional particle in a box, the zero-point energy corresponds to A) a node. B) n = 0. C) n = 1. D) A quantum state where the uncertainty principle is not valid. E) $\Psi$² = 0.

Question

Quizplus · Accepted Answer

The zero-point energy corresponds to the lowest possible energy level of a particle in a box, which is when n = 1. This energy level is known as the ground state, and it has a non-zero energy due to the uncertainty principle, even at absolute zero temperature. Therefore, choices A, D, and E are incorrect. Choice B is also incorrect because it refers to a non-existent energy level, as n must be greater than or equal to 1 in a particle in a box.

In a One-Dimensional Particle in a Box, the Zero-Point Energy Ψ\PsiΨ

In a One-Dimensional Particle in a Box, the Zero-Point Energy $\Psi$