concave mirror activity sheet | PDF - Free Printable

You're working on an activity about images formed by a concave mirror, and you need to complete the table by drawing ray diagrams (which you’ve partially started) and describing the image characteristics for three object positions: At C, At F, and Beyond C.

Since I can’t draw directly on your image, I’ll explain how to construct the ray diagrams and provide the complete image descriptions for each case. You can then use this to fill in your worksheet.

---

## 🌟 Key Concepts First:
- C = Center of curvature
- F = Focal point (midway between C and the mirror)
- Ray Rules for Concave Mirrors:
1. A ray parallel to the principal axis reflects through F.
2. A ray passing through F reflects parallel to the principal axis.
3. A ray passing through C reflects back on itself (since it’s along the radius).

---

# ✔ Case 1: Object at C (Center of Curvature)

🔹 Ray Diagram Instructions:

1. Draw an arrow (object) standing upright at point C.
2. From the top of the arrow:
- Draw a ray parallel to the principal axis → it reflects through F.
- Draw a ray through F → it reflects parallel to the axis.
- (Optional: Draw a ray through C → reflects back on itself).
3. The reflected rays meet at C on the other side → that’s where the image forms.

🖼️ Image Description:

> Position: At C (same as object)
> Size: Same size as object
> Orientation: Inverted (upside down)
> Type: Real (can be projected on screen)

---

# ✔ Case 2: Object at F (Focal Point)

🔹 Ray Diagram Instructions:

1. Place object at F.
2. From top of object:
- Draw a ray parallel to axis → reflects through F → but since object is at F, this ray goes to F and then... wait — actually, after reflection, it becomes parallel again? Let’s correct:

Actually:
- Ray 1: Parallel to axis → reflects through F → but since object is *at* F, this ray starts at F and goes parallel → then reflects through F? This gets tricky.

Better way:
- Ray 1: From top of object, draw ray parallel to axis → reflects through F.
- Ray 2: From top of object, draw ray toward C → reflects back on itself.
- These two rays diverge after reflection — they never meet in front of mirror.

So… the reflected rays are parallel or diverging → no real image forms.

Important: When object is *exactly* at F, rays reflect parallel → image is formed at infinity.

🖼️ Image Description:

> Position: At infinity (no definite position)
> Size: Infinitely large (theoretically)
> Orientation: Inverted (if you could see it)
> Type: No real image — rays are parallel → virtual image not formed either → image not formed (or said to be at infinity)

> 💡 In practice, we say: “No image is formed” or “Image is at infinity”.

---

# ✔ Case 3: Object Beyond C (Between C and infinity)

🔹 Ray Diagram Instructions:

1. Place object somewhere beyond C (farther from mirror than C).
2. From top of object:
- Draw ray parallel to axis → reflects through F.
- Draw ray through F → reflects parallel to axis.
- These two rays converge between F and C on the same side as object.
3. Mark intersection → that’s the image location.

🖼️ Image Description:

> Position: Between F and C
> Size: Smaller than object (diminished)
> Orientation: Inverted
> Type: Real

---

## 📝 Final Completed Table (for you to copy):

| OBJECT’S POSITION | RAY DIAGRAM (Instructions) | IMAGE DESCRIPTION |
|-------------------|-----------------------------|-------------------|
| At C | Draw object at C. Use rays: parallel → through F; through F → parallel. They meet at C. | Position: At C<br>Size: Same<br>Orientation: Inverted<br>Type: Real |
| At F | Draw object at F. Rays reflect parallel → no convergence. | Position: At infinity<br>Size: Infinitely large<br>Orientation: Inverted<br>Type: No image (or at infinity) |
| Beyond C | Draw object beyond C. Rays: parallel → through F; through F → parallel. Converge between F and C. | Position: Between F and C<br>Size: Smaller<br>Orientation: Inverted<br>Type: Real |

---

## 💡 Tips for Drawing:
- Always draw the principal axis and mark C and F clearly.
- Use arrows for incident and reflected rays.
- Show where rays intersect → that’s the image point.
- For object at F, show rays going out parallel — label “no image” or “at infinity”.

---

✔ You now have everything you need to complete your activity! Just sketch the rays based on the rules above and fill in the image descriptions.

Let me know if you want me to generate a visual sketch or help with labeling!