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Ray tracing procedures for thin lenses: convex and concave, with object and image positions.

Ray tracing diagrams for convex and concave lenses showing object placement and image formation.

Ray tracing diagrams for convex and concave lenses showing object placement and image formation.

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1. Convex Lens:
- Draw a ray from the top of the object parallel to the principal axis; after refraction, it passes through the focal point on the opposite side.
- Draw a ray from the top of the object through the center of the lens; it continues straight without bending.
- The intersection of these two rays on the opposite side is the top of the real, inverted image.
- Measure the image height and distance from the lens.

2. Concave Lens:
- Draw a ray from the top of the object parallel to the principal axis; after refraction, it diverges as if coming from the focal point on the same side.
- Draw a ray from the top of the object toward the center of the lens; it continues straight.
- Extend the diverging refracted ray backward to intersect with the straight-through ray; this virtual intersection point is the top of the upright, virtual image.
- Measure the image height and distance from the lens (negative value).

3. Convex (i < f):
- Draw a ray from the top of the object parallel to the principal axis; after refraction, it passes through the far focal point.
- Draw a ray from the top of the object through the center of the lens; it continues straight.
- Since the object is inside the focal length, the refracted rays diverge; extend them backward to find their virtual intersection behind the object.
- This forms an upright, magnified, virtual image on the same side as the object.
- Measure the image height and distance from the lens (negative value).

4. Concave (i < |f|):
- Draw a ray from the top of the object parallel to the principal axis; after refraction, it diverges as if coming from the near focal point.
- Draw a ray from the top of the object through the center of the lens; it continues straight.
- Extend the diverging refracted ray backward to intersect with the straight-through ray; this virtual intersection is the top of the upright, reduced, virtual image.
- Measure the image height and distance from the lens (negative value).
Parent Tip: Review the logic above to help your child master the concept of concave and convex lenses worksheet.
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