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Difficulty: MediumPhysics Fundamentals and Everyday Applications

Rear-view mirrors installed in motor vehicles provide drivers with a significantly wider field of view compared to standard flat plane mirrors. Which of the following fundamental optical properties best explains why convex mirrors are used for this everyday application?

  1. They consistently form erect, virtual, and diminished images, allowing a larger field of view to be compressed into a small mirror surface.Answer
  2. B
    They form real and inverted images that magnify distant objects, making approaching vehicles appear closer and clearer.
  3. C
    They utilize total internal reflection to amplify the brightness of light rays reflected from behind the vehicle.
  4. D
    They refract incoming parallel light rays inward so that they converge precisely onto a single focal plane.

Answer

Convex mirrors are used as rear-view mirrors because they consistently form erect, virtual, and diminished images, providing a significantly wider field of view.
The choice stating that convex mirrors form erect, virtual, and diminished images is correct. Because the light rays diverge after hitting the outer curved surface, the image is formed behind the mirror (virtual) and stays right-side up (erect). Since the image is reduced in size (diminished), it allows a much larger area of the road behind the driver to be visible in a compact mirror, creating a wide field of view.

Step-by-Step Solution

1
Analyze the optical behavior of a convex spherical mirror
Light rays striking a convex mirror diverge upon reflection. Tracing these reflected rays backward shows that they intersect behind the mirror surface.
Understanding ray tracing for curved surfaces determines the nature of the image formed.
2
Evaluate the image characteristics produced by a convex mirror
For any real object placed in front of a convex mirror, the image formed is always virtual, upright (erect), and smaller than the object (diminished).
Image nature (virtual/real, erect/inverted, magnified/diminished) dictates practical utility.
3
Relate image characteristics to the driver's field of view requirement
Because the image is diminished and upright, a wider angular region behind the vehicle can fit onto the driver's mirror screen compared to a plane mirror of identical size.
Connecting image formation rules to everyday automotive safety applications provides the complete scientific reasoning.

Key Concept

Convex Mirrors and Image Formation in Everyday Applications
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Topics

Physics Fundamentals and Everyday Applications

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