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

question 7

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:

ADHD

Stands for Attention Deficit Hyperactivity Disorder, a neurodevelopmental disorder characterized by difficulties with focus, hyperactivity, and impulsiveness.

Child Psychiatry

A branch of psychiatry that specializes in the diagnosis, treatment, and prevention of mental disorders in children and adolescents.

Leo Kanner

An Austrian-American psychiatrist known for his work in child psychiatry, particularly his landmark 1943 paper that first described autism.

ADHD-I

Attention-deficit/hyperactivity disorder, predominantly inattentive presentation, characterized by issues with maintaining attention and focus.