curved mirrors: locating images in concave & convex mirrors

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Curved Mirrors: Locating Images in Concave & Convex Mirrors

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Page 1: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Curved Mirrors:

Locating Images in Concave & Convex Mirrors

Page 2: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Concave & Convex

Page 3: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Curved Mirrors: Terms You Should Know

1. Centre of Curvature, C• If you draw a series of lines at right angles to a

curved mirror, they will meet at 1 point – this is the centre of curvature.

2. Principal Axis• This is a line that goes through the centre of the

mirror and is used to help us draw images.3. Vertex, V• The point where the principal axis and the mirror

meet.

Page 4: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Curved Mirrors: Terms You Should Know

4. Focal Point, F• In a curved mirror, an incident ray that is near and

parallel to the principal axis when reflected, will cross the principal axis at a point called the focal point, or F

5. Focal Length• The distance between F and V

Note: C is always 2x farther from the mirror as F

Page 5: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Curved Mirrors: Label this diagram!

VertexPrincipal Axis

Focal Point

Centre of Curvature

Focal Length

Page 6: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Drawing Ray Diagrams to Locate Images in Concave Mirrors

Steps• Draw the object, so the bottom of it is on the

principal axis.The image will also be on the principal axis,

which means we only need to find the top of the image!

• We only need to draw 2 incident rays, without measuring angles

Page 7: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Concave Mirror Ray Diagrams

Ray 1Draw an incident ray near and parallel to the principal axis The reflected ray will go through F

Ray 2Draw an incident ray through F This will reflect parallel to the principal axis

Ray 3An additional ray can be drawn through CThis ray will reflect back on itself

Page 8: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Finding the Image• Just like in plane mirrors, to find the image in a

curved mirror we simply trace the reflected rays back until they meet.

• The point where they meet will be the top of the image!

• We can describe images in concave mirrors using the SALT method.

The characteristics of an image in a concave mirror will depend on the location of the object.

Page 9: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Let’s Try it!

Image Attributes:

S = Smaller

A = Inverted

L = Between C & F

T = Real

Page 10: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Convex Mirrors

• When you shine rays of light parallel to the principal axis, the reflected rays travel out and away from each other (they diverge).

Convex mirrors = divergent mirrorsBecause of this, the focal point (F) is convex

mirrors is behind the mirror.We still use C, V & the principal axis to

help us find images in Convex Mirrors

Page 11: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Concave vs. Convex Mirrors

Page 12: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Concave vs. Convex Mirrors

Page 13: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Drawing Ray Diagrams to Locate Images in Convex Mirrors

Steps• Use the same three incident rays you used in

concave mirrors to find the image in convex mirrors.

Characteristics of the Image• We use the SALT method to describe images

in convex mirrors There is only one image in convex mirrors

Page 14: Curved Mirrors: Locating Images in Concave & Convex Mirrors

Let’s try it!Image Attributes:

S = Smaller

A = Inverted

L = Between C & F

T = Virtual