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Lig ht Lens
Types of   converging lens: ,[object Object],[object Object],[object Object],[object Object],[object Object],(a)  biconvex  (b) plano-convex (c)  concavo-convex
Technical Terms: The optical centre, C, is the centre of the converging lens. principal axis Optical centre,   C
principal axis Technical Terms: The  principal axis  is a horizontal line passing through the optical centre Optical centre,  C 
Technical Terms: The principal focus, F, of the converging lens is the point on the principal axis to which all rays originally parallel and close to the axis converge, after passing through the lens. F F: focus Focal length C F
Technical Terms: The focal length, f, of the lens is the distance between the optical centre and the principal focus. F Focal length f C F
Standard rays (For construction of ray diagram) F   C F step 1   step2   step 3
F  F object image Object distance u Image distance v Technical Terms: The object distance,  u , is the distance between the optical centre and the object. The image distance,  v , is the distance between the image and the optical centre.
Construction rules ,[object Object],[object Object],[object Object],F’ F C object Image
Formation of image by a converging lens: ,[object Object],[object Object],[object Object],Given: (continue on next slide)
2F  F  F image Object at infinite position Image nature : real, diminished and inverted image  Image distance:  v = f Uses:  telescope v=f u=f Case 5a:
2F  F  F object image u 2f v u > 2f Nature of image :  real, inverted and diminished Image distance:  f  <v <2f Uses :  In a camera, in your eye at this moment Case 5b:
2F  F  F 2F object image u 2f v u = 2f Case 5c: Nature of image:  real, inverted and same size Image distance:  v = 2f Uses:  photocopier
F  F object image u f v f<u<2f Nature of image : real, inverted and enlarged Image distance:  v >2f Uses : slide projector, film projector, OHP Case 5d:
F  F object u f u=f No image is formed.  Image distance :  (Image is formed at infinity) v =  ∞ Uses : Theatres, spotlights Case 5e:
F  F object image u f v 0<u<f Nature of image : virtual, erect and enlarged Uses : magnifying glass.  Case 5f:
Simple Magnifying Glass
TELESCOPE
Formation of virtual images by   a convex lens:   (Case 5) ,[object Object],[object Object]
Virtual Image: The image formed by this way is a virtual image, please explain?
To find the focal length of a convex lens: ,[object Object],[object Object]
Approximate method  to find the focal length of the convex lens Focal length
[object Object],[object Object]
Steps to measure the focal length: ,[object Object],[object Object],[object Object]
F  F object image Worked example 1: Given: focal length of convex length, f, object distance, u and its size. Find by graphically the size and the nature of its image produced.  The image obtained: Enlarged, inverted and real. Image distance, v > f
F  F image object Worked example 2: Given: focal length of convex length, f, image distance, v and its size. Find by graphically the size and the position of the object.  Graphically:
object image F focal length f Given: the size and position of distance of an object and its image . Find by graphically the focal length, f, and the position of the lens.  Worked example 3: Graphically:
GCE O-Level   Past Examination Paper Science (Physics)
Nov 1998 10. The human eye has a converging lens system that  produces an image at the back of the eye. If the eye  views a distant object, which type of image is  produced? A real, erect, diminished  B real, inverted, diminished  C virtual, erect, diminished  D virtual, inverted, diminished B
November 1989 10. In the diagram, XY is a convex lens and F are the principal foci. An object is placed at O. At which point is the  base of the image formed? D X Y
GCE O  Nov 1997 11.  The diagram shows the action of a magnifying glass. Which point is the principal focus of the lens ? D
Nov 1996 13(a) Draw a labelled diagram to show what is meant  by the focal length of a thin converging lens.  [2] Focal length is distance from centre of lens to focus. (continue in next slide)
13(b) A thin converging lens can be used to produce  either a real or a virtual image.  Explain the  difference between these types of image.  [2]   (Cont. …)  Q. 13  Nov 1996 Real image is the  image that can project on the screen. Virtual image is the  image that produce by reflection of light and cannot projected on the screen.  Draw two ray diagrams, one to show the  formation of a real image, the other to show  the formation of a virtual image, using a thin  converging lens.  [6] (continue in next slide)
(Cont. …)  Q. 13  Nov 1996 13(b) When f > u, image: Virtual,  upright and Enlarged. When u > f, image: Real,  inverted and reduced.
6(a)   Draw rays on the diagram below to show what is    meant by the focal length of a converging lens. GCE  Nov 1991 lens Rays parallel to axis axis Focal length (continue on next slide)
6(b)   The diagram below shows the image I of an  object O produced by a converging lens.    Complete a ray diagram to show two rays    passing from the object to the image. Mark the  positions of the lens L and the relevant focal  point F on the diagram.  [4]   (Cont. …)  Q. 6   Nov 1991 O I lens F L F
Nov 1990 2.  The diagram below represents a thin converging lens L (shown as a vertical line) which is being used to produce an image I of a point object O. On the diagram, complete the path of the  ray shown and draw a second ray to locate the position of the principal focus (the focal point) of the lens. Label this point F.  [4] F L

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[Unit 9.03] lens

  • 2.
  • 3. Technical Terms: The optical centre, C, is the centre of the converging lens. principal axis Optical centre, C
  • 4. principal axis Technical Terms: The principal axis is a horizontal line passing through the optical centre Optical centre, C 
  • 5. Technical Terms: The principal focus, F, of the converging lens is the point on the principal axis to which all rays originally parallel and close to the axis converge, after passing through the lens. F F: focus Focal length C F
  • 6. Technical Terms: The focal length, f, of the lens is the distance between the optical centre and the principal focus. F Focal length f C F
  • 7. Standard rays (For construction of ray diagram) F   C F step 1 step2 step 3
  • 8. F F object image Object distance u Image distance v Technical Terms: The object distance, u , is the distance between the optical centre and the object. The image distance, v , is the distance between the image and the optical centre.
  • 9.
  • 10.
  • 11. 2F F F image Object at infinite position Image nature : real, diminished and inverted image Image distance: v = f Uses: telescope v=f u=f Case 5a:
  • 12. 2F F F object image u 2f v u > 2f Nature of image : real, inverted and diminished Image distance: f <v <2f Uses : In a camera, in your eye at this moment Case 5b:
  • 13. 2F F F 2F object image u 2f v u = 2f Case 5c: Nature of image: real, inverted and same size Image distance: v = 2f Uses: photocopier
  • 14. F F object image u f v f<u<2f Nature of image : real, inverted and enlarged Image distance: v >2f Uses : slide projector, film projector, OHP Case 5d:
  • 15. F F object u f u=f No image is formed. Image distance : (Image is formed at infinity) v = ∞ Uses : Theatres, spotlights Case 5e:
  • 16. F F object image u f v 0<u<f Nature of image : virtual, erect and enlarged Uses : magnifying glass. Case 5f:
  • 19.
  • 20. Virtual Image: The image formed by this way is a virtual image, please explain?
  • 21.
  • 22. Approximate method to find the focal length of the convex lens Focal length
  • 23.
  • 24.
  • 25. F F object image Worked example 1: Given: focal length of convex length, f, object distance, u and its size. Find by graphically the size and the nature of its image produced. The image obtained: Enlarged, inverted and real. Image distance, v > f
  • 26. F F image object Worked example 2: Given: focal length of convex length, f, image distance, v and its size. Find by graphically the size and the position of the object. Graphically:
  • 27. object image F focal length f Given: the size and position of distance of an object and its image . Find by graphically the focal length, f, and the position of the lens. Worked example 3: Graphically:
  • 28. GCE O-Level Past Examination Paper Science (Physics)
  • 29. Nov 1998 10. The human eye has a converging lens system that produces an image at the back of the eye. If the eye views a distant object, which type of image is produced? A real, erect, diminished B real, inverted, diminished C virtual, erect, diminished D virtual, inverted, diminished B
  • 30. November 1989 10. In the diagram, XY is a convex lens and F are the principal foci. An object is placed at O. At which point is the base of the image formed? D X Y
  • 31. GCE O Nov 1997 11. The diagram shows the action of a magnifying glass. Which point is the principal focus of the lens ? D
  • 32. Nov 1996 13(a) Draw a labelled diagram to show what is meant by the focal length of a thin converging lens. [2] Focal length is distance from centre of lens to focus. (continue in next slide)
  • 33. 13(b) A thin converging lens can be used to produce either a real or a virtual image. Explain the difference between these types of image. [2] (Cont. …) Q. 13 Nov 1996 Real image is the image that can project on the screen. Virtual image is the image that produce by reflection of light and cannot projected on the screen. Draw two ray diagrams, one to show the formation of a real image, the other to show the formation of a virtual image, using a thin converging lens. [6] (continue in next slide)
  • 34. (Cont. …) Q. 13 Nov 1996 13(b) When f > u, image: Virtual, upright and Enlarged. When u > f, image: Real, inverted and reduced.
  • 35. 6(a) Draw rays on the diagram below to show what is meant by the focal length of a converging lens. GCE Nov 1991 lens Rays parallel to axis axis Focal length (continue on next slide)
  • 36. 6(b) The diagram below shows the image I of an object O produced by a converging lens. Complete a ray diagram to show two rays passing from the object to the image. Mark the positions of the lens L and the relevant focal point F on the diagram. [4] (Cont. …) Q. 6 Nov 1991 O I lens F L F
  • 37. Nov 1990 2. The diagram below represents a thin converging lens L (shown as a vertical line) which is being used to produce an image I of a point object O. On the diagram, complete the path of the ray shown and draw a second ray to locate the position of the principal focus (the focal point) of the lens. Label this point F. [4] F L