The Wave Function for a Particle in a One-Dimensional Box $\Psi$

question 53

Multiple Choice

The wave function for a particle in a one-dimensional box of length L

• A) is constrained by the boundary conditions \(\Psi\)(0) = 0 and \(\Psi\)(
• L) = 0.
• B) must be zero everywhere outside of the box.
• C) is given by \(\Psi\)(x) = A sin kx, where A is a constant.
• D) restricts the possible energy of the particle to E = .
• E) All of these are correct.

---

Definitions:

Limiting Factor

An environmental condition that restricts the growth, abundance, or distribution of an organism or a population within an ecosystem.

Nutrient

A substance that provides nourishment essential for the growth and maintenance of life.

Nitrites

Compounds containing the nitrite ion, NO2−, often used in food preservation and potentially harmful in high concentrations.

Bicarbonate

A bicarbonate ion (HCO3-) or a salt containing it, which acts as a buffer to maintain the pH balance in blood and other fluids.