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

question 2

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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Definitions:

Retributive Manner

An approach to justice that focuses on punishment as a form of revenge or retaliation against the offender.

Minimum Security Inmates

Prisoners classified as posing the least risk to the public and held in facilities with the most relaxed restrictions.

Nonviolent

Pertaining to methods or strategies that do not involve violence, especially in social or political activism.

First-Time Offenders

Individuals who have been legally charged with a crime for the first time, often considered for lighter sentences or alternative rehabilitation programs.