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

question 6

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:

Rapidly Accelerating Rate

A pace of change that is increasing swiftly and often unexpectedly, frequently used in the context of technology, growth, or environmental changes.

Verbal Immediacy

The use of language to express closeness and reduce the psychological distance between individuals.

Engage

To actively participate or become involved in an activity or interaction.

Compel

To force someone to do something through pressure, threats, or coercion.