c urved lenses 13.1, 13.3, 13.4. d iverging lens, c oncave shape f

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CURVED LENSES 13.1, 13.3, 13.4

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Page 1: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

CURVED LENSES13.1, 13.3, 13.4

Page 2: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

DIVERGING LENS, CONCAVE SHAPE

F

Page 3: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

CONVERGING LENS, CONVEX SHAPE

Page 4: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

PATH DEVIATION

Air to glass – bends towards the normal

Glass to air – bends away from normal

RAY CONVERGES

NOTICE THAT THE DEVIATION OF THE LIGHT RAY (X) INCREASES IF THE THICKNESS OF THE LENS INCREASES

X

Page 5: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

F2F F 2F

O

object

OPTICAL CENTRE

2F’ F’

LENS DIAGRAM SET UP

VIRTUAL FOCAL POINT

Page 6: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

F2F F 2F

O

object

HOW DO WE KNOW WHICH SIDE IS REAL AND WHICH SIDE IS VIRTUAL?REMEMBER THAT PREVIOULY THE REAL SIDE IS WHEREVER THE OBSERVER WHO IS SEEING THE IMAGE IS LOCATED…WHEN DEALING WITH LENSES, WHICH SIDE IS THIS?

VIRTUAL REAL

OPTICAL CENTRE

2F’ F’

Page 7: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

F2F F 2F

O

object

2F’ F’

RAY #1: Any ray that is parallel to the PA is refracted through the F

RAY #2: Any ray that pass through F is refracted parallel to PA

RAY #3: Any ray that passes through O continues through

USE SAME CONCEPTS AS THE ONES USED IN MIRRORS

Page 8: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

SPECIAL CASES WITH CONVERGING LENSES (P. 377)

Page 9: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

F2F F 2F

O

2F’ F’

Object beyond 2F’: image is real, inverted, smaller

Page 10: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

F2F F 2F

O

2F’ F’

Object at 2F’: image is inverted, same size, real

Page 11: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

F2F F 2F

O

2F’ F’

Object between F’ and 2F’: image is beyond 2F, real inverted, larger

Page 12: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

F2F F 2F

O

2F’ F’

Object at F’: no image

Light rays remain parallel and don’t converge thus no image formed

Page 13: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

F2F F 2F

O

2F’ F’

Object between lens and F’: image is virtual, erect, larger

Page 14: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

RULES WITH DIVERGING LENSES

Page 15: C URVED LENSES 13.1, 13.3, 13.4. D IVERGING LENS, C ONCAVE SHAPE F

F2F F 2F

object

2F’ F’

RAY #1: Any ray that is parallel to the PA appears to be refracted through the F’

RAY #2: Any ray that appears to pass through F is refracted parallel to PA

RAY #3: Any ray that passes through O continues through