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Solved Examples & Activity Analysis

April 10, 2024
2 min read

Analyzing Activity 10.7: Solar Concentrator

Scenario: You hold a concave mirror facing the sun and focus the light on a paper.

Physics Involved:

  1. Sunlight reaches Earth as parallel rays (because the Sun is very far away).
  2. A Concave Mirror is a converging mirror.
  3. It reflects these parallel rays to a single point called the Principal Focus.
  4. The concentration of many light rays at one tiny point generates intense heat.
  5. This heat is sufficient to reach the ignition temperature of the paper, causing it to burn.

Why didn’t the Convex Mirror work? In Activity 10.11, replacing the concave mirror with a convex one failed to burn the paper. This is because a convex mirror diverges (spreads out) light. It does not concentrate energy; it scatters it.

Analyzing Activity 10.8: The Water Drop Lens

Scenario: A drop of water on a text makes the letters look bigger.

Physics Involved:

  1. Surface Tension pulls the water drop into a curved shape.
  2. The top surface bulges outwards, making it thick in the middle and thin at the edges.
  3. This shape corresponds to a Convex Lens.
  4. When the object (text) is very close to a convex lens (closer than its focal length), the lens forms a Virtual, Erect, and Enlarged image.
  5. This is the basic principle of a simple microscope or magnifying glass.

Sample Problem

Problem: A shopkeeper wants to install a mirror to watch over his entire large shop from a single point at the cash counter. Which mirror should he choose and why?

Solution: He should choose a Convex Mirror.

  1. Field of View: Convex mirrors reflect light outwards, allowing them to capture images from a much wider angle than plane or concave mirrors.
  2. Orientation: They always produce an erect (upright) image. A concave mirror might produce an inverted image if the customer is far away, which would be confusing.
  3. Conclusion: Even though the image is smaller (diminished), the ability to see the whole shop erect makes the convex mirror the best choice for surveillance.