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Divergence and Convergence of Light

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Topics

  • Introduction
  • Experiment 
  • Distinguishing Concave and Convex Mirrors

Introduction:

Light exhibits two important behaviours: convergence and divergence, which describe how light rays come together or spread apart after reflection or refraction. Convergence occurs when light rays are focused at a single point, while divergence happens when light rays spread out from a source. Mirrors, particularly concave and convex mirrors, play a significant role in demonstrating these phenomena. A concave mirror, also known as a focusing mirror, converges parallel rays to a single focal point and forms images that vary in size and orientation based on the object's distance. Conversely, a convex mirror, known as a dispersing mirror, causes parallel rays to diverge and always forms smaller, virtual, and erect images. These principles are widely applied in real-life scenarios, such as in shaving mirrors (concave) for magnified views or vehicle rear-view mirrors (convex) to provide a broader field of vision. 

Experiment

1. Aim: To demonstrate the concepts of convergence and divergence using matchsticks and to study the behaviour of concave and convex mirrors with light.

2. Requirements: 5 matchsticks, a concave mirror, a convex mirror, and a light source.

3. Procedure

  • Arrange 5 matchsticks so that their heads come together at a single point. This shows the convergence of the matchstick heads.
  • Rearrange the matchsticks so that their uncoated ends are together and the heads are spread out. This shows the divergence of the matchstick heads.
  • Direct parallel rays of light onto a concave mirror. Observe that the rays converge to a single focus point after reflection.
  • Direct parallel rays of light onto a convex mirror. Observe that the rays diverge after reflection, spreading outward.

Divergence and convergence

Concave and convex mirror

4. Conclusion

  • A concave mirror focuses parallel rays on a single point, demonstrating convergence.
  • A convex mirror disperses parallel rays, demonstrating divergence.

The size of the image in a concave mirror depends on the object’s distance, whereas a convex mirror always forms a smaller, virtual, and erect image.

Distinguishing Concave and Convex Mirrors

Feature

Concave Mirror

Convex Mirror

Type of Reflection

Converges light rays

Diverges light rays

Image Nature (Close)

Virtual, erect, and magnified

Always virtual, erect, and smaller

Image Nature (Far)

Real, inverted, and size vary based on object distance

Always smaller, virtual, and erect

Field of View

Limited, focused view

Wide field of view

Common Use

Shaving mirrors, makeup mirrors

Rear-view mirrors in vehicles

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