Images formed by lenses. Convex (converging) lenses, f>0.

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Images formed by lenses

Transcript of Images formed by lenses. Convex (converging) lenses, f>0.

Page 1: Images formed by lenses. Convex (converging) lenses, f>0.

Images formed by lenses

Page 2: Images formed by lenses. Convex (converging) lenses, f>0.

Convex (converging) lenses, f>0.

Page 3: Images formed by lenses. Convex (converging) lenses, f>0.

Three light rays Parallel in, focus out; Focus in, parallel out; Centre in, centre out.

Page 4: Images formed by lenses. Convex (converging) lenses, f>0.

F

f < do <2 f

F

F

f > do

F

Page 5: Images formed by lenses. Convex (converging) lenses, f>0.

Properties of the Image (convex lens)

do is the distance between the object and the lens

f is the focal length.

Distance to the mirror Properties of the image

do >2 f Inverted, diminished, real

do = 2 f Inverted, same size, real

f < do <2 f Inverted, magnified, real

do= f No image

do< f upright, magnified, virtual

Page 6: Images formed by lenses. Convex (converging) lenses, f>0.
Page 7: Images formed by lenses. Convex (converging) lenses, f>0.

Images formed by a convex mirror

The image is upright, diminished, and virtual, behind the mirror and between the mirror and the principal focus.

F

Page 8: Images formed by lenses. Convex (converging) lenses, f>0.

Concave (diverging) lenses, f <0

Page 9: Images formed by lenses. Convex (converging) lenses, f>0.

Descartes’ formula

oi ddf

111

f: focal length, negative when the lens is concave.

di: distance the image is in front of mirror, negative when image is virtual (behind lens).

do: distance the object is in front of lens.

Page 10: Images formed by lenses. Convex (converging) lenses, f>0.

Magnification

o

i

o

i

d

d

h

hm

hi: height of image, negative when image is virtual. ho: height of object.

Page 11: Images formed by lenses. Convex (converging) lenses, f>0.

eg1.An object 2cm high is placed 10cm in front of a concave lens of focal length 3.5cm. Find the height and position of the image.

Page 12: Images formed by lenses. Convex (converging) lenses, f>0.

Ans. do = 10cm, ho=2cm, f=-3.5cm. di =?, hi =?

hi=-0.26ho=-0.26x2 = -0.52cm

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5.3

1

id

26.010

6.2

o

i

o

i

d

d

h

hm

io ddf

111

3857.010

1

5.3

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id

6.23857.0

1

id

What does the negative sign stand for?