A Particle Is Confined to a One-Dimensional Box (An Infinite

question 5

Multiple Choice

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

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