Particle in a Box: a Particle Is Confined to a One-Dimensional

question 32

Multiple Choice

Particle in a box: 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

---

Definitions:

Simple Interest

Interest that is calculated on the principal in an account, using the formula I = prt.

Checking Account

A checking account is a bank account that allows for easy access to funds through checks, debit cards, and electronic transfers, used primarily for daily transactions.

ATM Withdrawal

The act of taking out cash from one's bank account through an Automated Teller Machine.

Usage Fee

Charges incurred for using a particular service or facility, often assessed on a periodic basis.