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Transcript
Physics
Photo: Luis Argeric (Creative Commons license)
Ray Diagrams for Lenses
Student Worksheets
by Robert Prior
Physics
instructions
Ray Diagrams for Lenses
Drawing ray diagrams is a skill used in many branches of optics. As with any skill, practice
makes perfect. This booklet contains many practice diagrams so you can become perfect.
Although there are an infinite number of light rays, you only
need to draw three rays to locate the image.
For clarity, draw each ray in a different colour. This booklet
uses red for rays through the optical centre, green for rays
through the principal focus, and blue for rays through the
secondary focus.
Real rays, which represent the path followed by a beam of
light, should be drawn as solid lines:
Virtual rays, which represent the path that a beam of light
appears to follow, should be drawn as dashed lines:
Always use a ruler and draw your lines carefully! A small
mistake in a line can lead to a big mistake in an image.
Engraving on the title page of the Thesaurus opticus
Ray Diagrams for Lenses
Page 2
Instructions
Label the following:
lens
object
optical axis
optical centre
principal axis
principal focus
secondary focus
©2011 Robert Prior
Page 3
Instructions
Locate and describe the image
Ray Diagrams for Lenses
Page 4
Instructions
Locate and describe the image
©2011 Robert Prior
Page 5
Instructions
Locate and describe the image
Ray Diagrams for Lenses
Page 6
Instructions
Locate and describe the image
©2011 Robert Prior
Page 7
Instructions
Locate and describe the image
Ray Diagrams for Lenses
Page 8
Instructions
Locate and describe the image
©2011 Robert Prior
Page 9
Instructions
Locate and describe the image
Ray Diagrams for Lenses
Page 10
Instructions
Locate and describe the image
©2011 Robert Prior
Page 11
Music is the arithmetic of sounds
as optics is the geometry of light.
Claude Debussy
©2011 Robert Prior
Permission is granted to copy this material for classroom use.
Physics
Photo: Luis Argeric (Creative Commons license)
Ray Diagrams for Lenses
Solutions for Student Workbook
by Robert Prior
Physics
instructions
Ray Diagrams for Lenses
Drawing ray diagrams is a skill used in many branches of optics. As with any skill, practice
makes perfect. This booklet contains solutions to the student workbook.
Although there are an infinite number of light rays, you only
need to draw three rays to locate the image.
For clarity, draw each ray in a different colour. This booklet
uses red for rays through the optical centre, green for rays
through the principal focus, and blue for rays through the
secondary focus.
Real rays, which represent the path followed by a beam of
light, should be drawn as solid lines:
Virtual rays, which represent the path that a beam of light
appears to follow, should be drawn as dashed lines:
Always use a ruler and draw your lines carefully! A small
mistake in a line can lead to a big mistake in an image.
Engraving on the title page of the Thesaurus opticus
Ray Diagrams for Lenses
Page 2
Instructions
optical axis
Label the following:
lens
object
object
optical axis
lens
optical centre
principal axis
principal focus
secondary focus
secondary focus
principal focus
optical centre
principal axis
©2011 Robert Prior
Page 3
Rays parallel to the principal
axis are refracted through the
primary focus.
Instructions
Locate and describe the image
Rays passing through the
optical centre are not
refracted.
The image is real,
smaller, and inverted.
Rays passing through the
secondary focus are refracted
parallel to the principal axis.
Ray Diagrams for Lenses
Draw the image where
all three rays cross.
Page 4
Instructions
Locate and describe the image
The image is upside-down,
so it is inverted.
The image is real, same
size, and inverted.
Measure the image to see if it is
larger, smaller, or the same size.
The image is formed with real rays,
so it is a real image.
©2011 Robert Prior
Page 5
Instructions
Locate and describe the image
The image is real,
larger, and inverted.
Notice that rays
don’t have to pass
through the lens!
Ray Diagrams for Lenses
Page 6
Instructions
Locate and describe the image
Rays are parallel, therefore
no image will be formed.
No image is formed.
©2011 Robert Prior
Page 7
Instructions
Locate and describe the image
The rays are diverging,
so we must extend them
backwards with virtual
rays.
These are virtual rays.
The image is virtual,
larger, and upright.
Ray Diagrams for Lenses
Page 8
Instructions
Locate and describe the image
The image is virtual,
larger, and upright.
©2011 Robert Prior
Page 9
Instructions
Locate and describe the image
The image is virtual,
smaller, and upright.
Ray Diagrams for Lenses
Page 10
Instructions
Locate and describe the image
The image is virtual,
smaller, and upright.
©2011 Robert Prior
Page 11
Music is the arithmetic of sounds
as optics is the geometry of light.
Claude Debussy
©2011 Robert Prior
Permission is granted to copy this material for classroom use.