SNC2D 1 Concave Mirrors Practice Worksheet - SNC2D1 Concave ... - Free Printable
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Step-by-step solution for: SNC2D 1 Concave Mirrors Practice Worksheet - SNC2D1 Concave ...
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Show Answer Key & Explanations
Step-by-step solution for: SNC2D 1 Concave Mirrors Practice Worksheet - SNC2D1 Concave ...
Since I can't view or access images directly, I’ll help you solve the concave mirror ray diagram problems based on the description of each scenario. You mentioned there are four diagrams involving concave mirrors with objects placed at different positions relative to the center of curvature (C), focal point (F), and vertex (V). I'll walk through each case using standard ray tracing rules for concave mirrors, then determine the SALT characteristics:
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1. Ray 1: A ray parallel to the principal axis reflects through the focal point (F).
2. Ray 2: A ray passing through the focal point (F) reflects parallel to the principal axis.
3. Ray 3: A ray passing through the center of curvature (C) reflects back along its own path.
The image is formed where the reflected rays intersect (real) or appear to diverge from (virtual).
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Let’s analyze each case one by one.
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- Object is between C and F, upright arrow.
- So, object is located between the center of curvature and the focal point.
#### ✔ Ray Diagram Analysis:
- Rays will converge beyond C.
- Image is real, inverted, larger than object, and located beyond C.
#### ✔ SALT:
- S: Larger
- A: Inverted
- L: Beyond C (or "Between C and infinity")
- T: Real
> 💡 Tip: When object is between C and F → magnified real inverted image beyond C.
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- Object is beyond C, upright arrow.
- So, object is farther than C from the mirror.
#### ✔ Ray Diagram Analysis:
- Rays reflect and converge between C and F.
- Image is real, inverted, smaller than object, located between C and F.
#### ✔ SALT:
- S: Smaller
- A: Inverted
- L: Between C and F
- T: Real
> 💡 Rule: Object beyond C → reduced real inverted image between C and F.
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- Object is between F and V, downward arrow (but direction doesn’t affect size/position).
- So, object is inside the focal point.
#### ✔ Ray Diagram Analysis:
- Rays diverge after reflection.
- The reflected rays appear to come from a point behind the mirror.
- Image is virtual, upright, larger than object, located behind the mirror.
#### ✔ SALT:
- S: Larger
- A: Upright
- L: Behind the mirror
- T: Virtual
> 💡 Rule: Object inside F → virtual, upright, magnified image behind mirror.
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- Object is at the focal point (F), downward arrow.
- Object is exactly at F.
#### ✔ Ray Diagram Analysis:
- Rays that go parallel to axis reflect through F — but since object is at F, the rays go through F before hitting mirror.
- After reflection, they go parallel to axis.
- These rays never converge; they are parallel → no intersection.
- Therefore, no image is formed.
#### ✔ SALT:
- S: NO IMAGE
- A: NO IMAGE
- L: NO IMAGE
- T: NO IMAGE
> 💡 Rule: Object at F → rays emerge parallel → no image (image at infinity).
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| Problem | S | A | L | T |
|--------|---------|-----------|---------------------|---------|
| 1 | Larger | Inverted | Beyond C | Real |
| 2 | Smaller | Inverted | Between C and F | Real |
| 3 | Larger | Upright | Behind the mirror | Virtual |
| 4 | NO IMAGE| NO IMAGE | NO IMAGE | NO IMAGE|
---
- Always use a ruler when drawing ray diagrams.
- Use the three key rays to locate the image.
- Remember: If both object and image are inverted, the image is technically upright — but in this context, we just label it as inverted if the image is flipped relative to the object.
Let me know if you’d like a step-by-step ray diagram sketch guide for any of these!
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🔍 Ray Tracing Rules for Concave Mirrors:
1. Ray 1: A ray parallel to the principal axis reflects through the focal point (F).
2. Ray 2: A ray passing through the focal point (F) reflects parallel to the principal axis.
3. Ray 3: A ray passing through the center of curvature (C) reflects back along its own path.
The image is formed where the reflected rays intersect (real) or appear to diverge from (virtual).
---
Let’s analyze each case one by one.
---
🟦 Problem 1:
- Object is between C and F, upright arrow.
- So, object is located between the center of curvature and the focal point.
#### ✔ Ray Diagram Analysis:
- Rays will converge beyond C.
- Image is real, inverted, larger than object, and located beyond C.
#### ✔ SALT:
- S: Larger
- A: Inverted
- L: Beyond C (or "Between C and infinity")
- T: Real
> 💡 Tip: When object is between C and F → magnified real inverted image beyond C.
---
🟦 Problem 2:
- Object is beyond C, upright arrow.
- So, object is farther than C from the mirror.
#### ✔ Ray Diagram Analysis:
- Rays reflect and converge between C and F.
- Image is real, inverted, smaller than object, located between C and F.
#### ✔ SALT:
- S: Smaller
- A: Inverted
- L: Between C and F
- T: Real
> 💡 Rule: Object beyond C → reduced real inverted image between C and F.
---
🟦 Problem 3:
- Object is between F and V, downward arrow (but direction doesn’t affect size/position).
- So, object is inside the focal point.
#### ✔ Ray Diagram Analysis:
- Rays diverge after reflection.
- The reflected rays appear to come from a point behind the mirror.
- Image is virtual, upright, larger than object, located behind the mirror.
#### ✔ SALT:
- S: Larger
- A: Upright
- L: Behind the mirror
- T: Virtual
> 💡 Rule: Object inside F → virtual, upright, magnified image behind mirror.
---
🟦 Problem 4:
- Object is at the focal point (F), downward arrow.
- Object is exactly at F.
#### ✔ Ray Diagram Analysis:
- Rays that go parallel to axis reflect through F — but since object is at F, the rays go through F before hitting mirror.
- After reflection, they go parallel to axis.
- These rays never converge; they are parallel → no intersection.
- Therefore, no image is formed.
#### ✔ SALT:
- S: NO IMAGE
- A: NO IMAGE
- L: NO IMAGE
- T: NO IMAGE
> 💡 Rule: Object at F → rays emerge parallel → no image (image at infinity).
---
✔ Final Answers:
| Problem | S | A | L | T |
|--------|---------|-----------|---------------------|---------|
| 1 | Larger | Inverted | Beyond C | Real |
| 2 | Smaller | Inverted | Between C and F | Real |
| 3 | Larger | Upright | Behind the mirror | Virtual |
| 4 | NO IMAGE| NO IMAGE | NO IMAGE | NO IMAGE|
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📌 Summary Notes:
- Always use a ruler when drawing ray diagrams.
- Use the three key rays to locate the image.
- Remember: If both object and image are inverted, the image is technically upright — but in this context, we just label it as inverted if the image is flipped relative to the object.
Let me know if you’d like a step-by-step ray diagram sketch guide for any of these!
Parent Tip: Review the logic above to help your child master the concept of concave and convex mirrors worksheet.