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

question 21

Multiple Choice

A particle is confined to a one-dimensional box (an infinite well) on the x-axis between and .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 .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:

Nonsuicidal Self-injury

Behaviors where individuals deliberately harm their bodies without the intent to die, often as a way to cope with emotional distress.

Adderall

A prescription medication commonly used to treat attention deficit hyperactivity disorder (ADHD) and certain sleep disorders, comprising amphetamine salts.

ADHD

Attention Deficit Hyperactivity Disorder, a neurodevelopmental disorder characterized by patterns of inattention, impulsivity, and, in some cases, hyperactivity.

NSSI

Non-Suicidal Self-Injury, a behavior where an individual deliberately harms their own body without the intention to die, often as a coping mechanism.