Particle in a box: A particle is confined to a one-dimensional box (an infinite well) on the x-axis between x = 0 and x = L. The potential height of the walls of the box is infinite. The normalized wave function of the particle, which is in the ground state, is given by ψ(x) = sin , with 0 ≤ x ≤ L. What is the maximum probability per unit length of finding the particle?
A) 1/
C) 2/
D) 1/L
E) 2/L

Question

Particle in a box: A particle is confined to a one-dimensional box (an infinite well) on the x-axis between x = 0 and x = L. The potential height of the walls of the box is infinite. The normalized wave function of the particle, which is in the ground state, is given by ψ(x) =  sin  , with 0 ≤ x ≤ L. What is the maximum probability per unit length of finding the particle?
A) 1/ 
C) 2/ 
D) 1/L 
E) 2/L

Quizplus · Accepted Answer

The Answer of Particle in a box: A particle is confined to a one-dimensional box (an infinite well) on the x-axis between x = 0 and x = L. The potential height of the walls of the box is infinite. The normalized wave function of the particle, which is in the ground state, is given by ψ(x) =  sin  , with 0 ≤ x ≤ L. What is the maximum probability per unit length of finding the particle?
A) 1/ 
C) 2/ 
D) 1/L 
E) 2/L

Particle in a Box: a Particle Is Confined to a One-Dimensional