Lesson 5 Concave and Convex Mirror Worksheet | PDF - Free Printable

Since I can't view or access images directly, I’ll help you solve the Concave and Convex Mirror Worksheet based on the description of the diagrams. You mentioned there are four setups involving mirrors and objects with arrows (representing objects), and you're asked to:

1. Sketch the image using two characteristic rays
2. Identify whether the mirror is concave or convex
3. Determine the SILT characteristics of the image:
- S: Size (larger, smaller, same)
- I: Inverted or upright
- L: Location (in front or behind the mirror)
- T: Type (real or virtual)

Let’s analyze each diagram one by one based on typical configurations in such worksheets.

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🔹 Diagram 1:

Description:
- A curved mirror facing left, with object arrow to the right of the mirror.
- Two points marked on the principal axis: one near the center (likely focal point) and one farther out (center of curvature).
- Object is beyond the center of curvature (C).

✔ Mirror Type: Concave (curved inward toward the object)

#### ✔ Characteristic Rays:
Use two standard rays:
1. Parallel ray → Reflects through F
Draw a ray from the top of the object parallel to the principal axis; it reflects through the focal point (F).
2. Through F → Reflects parallel
Draw a ray from the top of the object through the focal point (F); it reflects parallel to the principal axis.

These two reflected rays intersect between C and F, forming a real, inverted image.

#### 📌 Image Characteristics (SILT):
- S: Smaller than object
- I: Inverted
- L: In front of the mirror
- T: Real

> Answer:
> - Mirror: Concave
> - SILT: Smaller, Inverted, In front, Real

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🔹 Diagram 2:

Description:
- Mirror curved to the right, object arrow to the left, placed between F and C (but closer to F than C).

Wait — let's clarify: The mirror is curved toward the object, so again, concave.

Object is between F and C? Actually, if the object is between the mirror and the focal point (F), then it's inside F.

But wait — the diagram shows object to the left, mirror curved right, and object is closer to the mirror than F.

So: Object is inside the focal point (F).

✔ Mirror Type: Concave

#### ✔ Characteristic Rays:
1. Parallel ray → Reflects through F
2. Through F → Reflects parallel

→ These two rays diverge after reflection. Extend them backward to find where they appear to come from (virtual image).

Image forms behind the mirror, upright, larger.

#### 📌 Image Characteristics (SILT):
- S: Larger
- I: Upright
- L: Behind the mirror
- T: Virtual

> Answer:
> - Mirror: Concave
> - SILT: Larger, Upright, Behind, Virtual

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🔹 Diagram 3:

Description:
- Mirror curved to the right, object on the right side, very close to the mirror surface.
- Object is between the mirror and F (i.e., inside the focal point).

But now, the object is on the same side as the reflective surface, meaning it's in front of a concave mirror.

Wait — the mirror is curved toward the object, so still concave.

Object is very close to the mirror, inside F.

Same as Diagram 2.

✔ Mirror Type: Concave

#### ✔ Ray Tracing:
Same as above: parallel ray → through F; ray through F → parallel → diverge → extend backward → virtual image behind mirror.

Image is upright, magnified, virtual.

> Answer:
> - Mirror: Concave
> - SILT: Larger, Upright, Behind, Virtual

Wait — but look at the position of the object: it’s to the right of the mirror, while the mirror is curved to the right. That would mean the object is in front of the mirror.

Yes — this is consistent.

But now, check the mirror shape — if the mirror is curved outward (like a bubble), that would be convex.

Hold on — this is critical.

Let’s determine mirror type by curvature:

- If the mirror curves toward the object, it’s concave
- If it curves away from the object, it’s convex

In Diagram 3, the mirror is curving to the right, and the object is to the right of the mirror → the mirror curves away from the object → Convex mirror

Ah! This changes everything.

So we need to re-analyze all diagrams carefully.

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Let’s Re-evaluate All Diagrams Based on Curvature and Object Position

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🔹 Diagram 1:

- Mirror curves left (inward), object is to the right → mirror curves toward object → Concave
- Object is beyond C (center of curvature)
- Use two rays:
- Parallel → through F
- Through C → reflects back along same path (optional), or through F → parallel
- Rays converge in front → real, inverted, smaller image

✔ Concave, SILT: Smaller, Inverted, In front, Real

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🔹 Diagram 2:

- Mirror curves right, object is to the left → mirror curves away from object → Convex mirror
- Object is outside the mirror → always produces virtual, upright, reduced image

Wait — but the mirror is curved to the right, and object is to the left → so the mirror is bulging outward, away from object → Convex

Yes.

For convex mirrors, the rules are different:

#### ✔ Characteristic Rays for Convex Mirror:
1. Parallel ray → Reflects as if from F (behind mirror)
2. Ray toward C → Reflects at equal angle (or use: ray toward vertex → reflects symmetrically)

Standard rule:
- Parallel ray → reflects as if coming from focal point behind mirror
- Ray aimed at center of curvature → reflects back along same path

But since object is outside, draw:
- From top of object, draw parallel ray → reflect as if from F (behind)
- Draw ray going toward center of curvature → reflects back along same path

They diverge → extend backward → virtual image behind mirror, upright, smaller

✔ Convex, SILT: Smaller, Upright, Behind, Virtual

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🔹 Diagram 3:

- Mirror curves to the right, object is to the right, close to mirror → mirror curves away from object → Convex
- Object is in front of convex mirror → always forms virtual, upright, diminished image

Same as above.

✔ Convex, SILT: Smaller, Upright, Behind, Virtual

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🔹 Diagram 4:

- Mirror curves left, object is to the left of mirror → mirror curves toward object → Concave
- Object is beyond C (since both dots are to the right of object)

Wait — the object is to the left, mirror curves left, so object is in front of mirror.

The two blue dots: one near mirror (F), one farther (C). Object is to the left, beyond C.

So object is beyond C → same as Diagram 1.

✔ Concave, SILT: Smaller, Inverted, In front, Real

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Final Answers:

| Diagram | Mirror Type | SILT |
|--------|-------------|------|
| 1 | Concave | Smaller, Inverted, In front, Real |
| 2 | Convex | Smaller, Upright, Behind, Virtual |
| 3 | Convex | Smaller, Upright, Behind, Virtual |
| 4 | Concave | Smaller, Inverted, In front, Real |

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✔ Summary of Ray Tracing Rules:

#### For Concave Mirrors:
- Object beyond C: Real, inverted, smaller
- Object at C: Real, inverted, same size
- Object between C and F: Real, inverted, larger
- Object inside F: Virtual, upright, larger

#### For Convex Mirrors:
- Always: Virtual, upright, smaller, behind mirror

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✔ How to Sketch Images Using 2 Characteristic Rays:

1. Parallel Ray → Reflects through F (for concave) or as if from F (for convex)
2. Ray through F → Reflects parallel (concave) or ray toward C → reflects back (convex)

Then extend reflected rays to find intersection (real) or apparent origin (virtual).

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Final Answer Table:

| Diagram | Mirror Type | SILT |
|--------|-------------|------|
| 1 | Concave | Smaller, Inverted, In front, Real |
| 2 | Convex | Smaller, Upright, Behind, Virtual |
| 3 | Convex | Smaller, Upright, Behind, Virtual |
| 4 | Concave | Smaller, Inverted, In front, Real |

> 💡 Note: To complete the worksheet, sketch the two rays for each diagram and label the image accordingly.

If you can describe the exact positions of the object relative to F and C in each case, I can provide more detailed ray diagrams. But based on typical worksheet layouts, this should be correct.