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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Definitions:

Complex Behaviors

Complex behaviors involve multiple steps, coordination, and higher cognitive functions such as decision-making and problem-solving, distinguishing them from simple or reflexive actions.

Multiple Factors

Refers to the presence of more than one contributing variable or element that influences an outcome or situation.

Social Learning Theory

A theory that suggests individuals learn from their environment through observation, imitation, and modeling, highlighting the importance of cognitive processes in learning from the social context.

Behaviorism

Theories that focus on development as a result of learning and on changes in behavior as a result of forming associations between behavior and its consequences.