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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.