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

question 22

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 maximum probability per unit length of finding the particle?

• A) 1/
• C) 2/
• D) 1/L
• E) 2/L

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