Ray Diagrams for Image Formation by a Concave Mirror

Detailed explanation with ray diagrams for images formed by a concave mirror for various object positions:

1️⃣ When the object is at infinity

  • Ray Diagram: Parallel rays from the object reflect and converge at the principal focus (F).
  • Image Position: At F.
  • Nature: Real and inverted.
  • Size: Point-sized (highly diminished).

2️⃣ When the object is beyond C

  • Ray Diagram:
    • One ray parallel to the principal axis reflects through F.
    • Another ray passing through F reflects parallel to the principal axis.
  • Image Position: Between F and C.
  • Nature: Real and inverted.
  • Size: Diminished (smaller than the object).

3️⃣ When the object is at C

  • Ray Diagram:
    • One ray parallel to the principal axis reflects through F.
    • Another ray passing through the center of curvature (C) reflects back on the same path.
  • Image Position: At C.
  • Nature: Real and inverted.
  • Size: Same size as the object.

4️⃣ When the object is between C and F

  • Ray Diagram:
    • One ray parallel to the principal axis reflects through F.
    • Another ray passing through C reflects back along its path.
  • Image Position: Beyond C.
  • Nature: Real and inverted.
  • Size: Enlarged (larger than the object).

5️⃣ When the object is at F

  • Ray Diagram:
    • Rays from the object reflect in such a way that they become parallel after reflection.
    • Since the reflected rays do not converge, the image forms at infinity.
  • Image Position: At infinity.
  • Nature: Real and inverted.
  • Size: Highly enlarged.

6️⃣ When the object is between F and P (Pole)

  • Ray Diagram:
    • One ray parallel to the principal axis reflects through F.
    • Another ray directed towards the center of curvature reflects back.
  • Image Position: Behind the mirror.
  • Nature: Virtual and upright.
  • Size: Enlarged.

💡 Key Points for All Ray Diagrams:

  • Use at least two principal rays for accuracy.
  • The principal axis, focus (F), and center of curvature (C) are essential reference points.
  • The laws of reflection guide how rays reflect on the mirror surface.

These detailed explanations can help visualize the image formation in a concave mirror!