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 probability of finding the particle between x = 0 and x = L/3?
A) 0.20
B) 0.22
C) 0.24
D) 0.26
E) 0.28

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 probability of finding the particle between x = 0 and x = L/3?
A) 0.20 
B) 0.22 
C) 0.24 
D) 0.26 
E) 0.28

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 probability of finding the particle between x = 0 and x = L/3?
A) 0.20 
B) 0.22 
C) 0.24 
D) 0.26 
E) 0.28

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