Exploring the Science of Light and Reflection: The Case of Pete and the One-Way Mirror

Imagine a scenario where Pete is in a brightly lit classroom, and his teacher is standing in a dark hallway. Between them is a one-way mirror. Write an essay that explains how light plays a crucial role in this phenomenon, allowing Pete to see his reflection in the mirror while his teacher can see into the classroom from the hallway. In your essay, be sure to address the following points:

1. Describe the properties of light that are relevant to this scenario.
2. Explain how a one-way mirror works and the science behind why Pete can see his reflection, but his teacher can see through the mirror from the other side.
3. Discuss how the difference in lighting between the classroom and the hallway affects what Pete and his teacher can see.
4. Consider what might happen if the lights in the classroom were turned off and the hallway was illuminated instead.

Use your knowledge of light, reflection, and transparency to explore how these factors interact to create the observed phenomenon. Support your explanation with scientific concepts and reasoning.