The wave function for a particle in a one-dimensional box is . Which statement is correct? A) This wavefunction gives the probability of finding the particle at x. B) |Ψ(x)|² gives the probability of finding the particle at x. C) |Ψ(x)|² Δx gives the probability of finding the particle between x and x + Δx. D) gives the probability of finding the particle at a particular value of x. E) gives the probability of finding the particle between x and x + Δx.

Question

Quizplus · Accepted Answer

The wave function given only gives the probability density, which means the probability of finding the particle between x and x + Δx can be found by multiplying the absolute square of the wave function by Δx. Therefore, option C is correct. Option A and D are incorrect because the wave function gives the probability density, not the probability itself. Option B is incorrect because it includes a meaningless string of characters. Option E is incorrect because it only gives the probability of finding the particle between two points, not a particular value of x.

The Wave Function for a Particle in a One-Dimensional Box