5) magnifying glass (simple magnifier) a converging lens that allows one to focus on objects closer...

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5) Magnifying glass (Simple magnifier) A converging lens that allows one to focus on objects closer than the near point, so that it makes a larger, and therefore clearer, image on the retina. Note! o i i o i o d d m d f d d f d 0 The power of a magnifying glass is described by its angular magnification: cm h 25 0 ' d h 1 25 25 1 1 1 25 if 25 if 0 0 f cm M cm f d cm d f cm M f d d i i 0 25 ' d cm M 1 25 25 f cm M f cm

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Page 1: 5) Magnifying glass (Simple magnifier) A converging lens that allows one to focus on objects closer than the near point, so that it makes a larger, and

5) Magnifying glass (Simple magnifier)A converging lens that allows one to focus on objects closer than the near point, so that it makes a larger, and therefore clearer, image on the retina.

Note!

o

iio

io

d

dmdfd

dfd 0

The power of a magnifying glass is described by its angular magnification:

cm

h

25

0

'd

h

125

25

11125 if

25 if

0

0

f

cmM

cmfdcmd

f

cmMfdd

i

i

0

25'

d

cmM

12525

f

cmM

f

cm

Page 2: 5) Magnifying glass (Simple magnifier) A converging lens that allows one to focus on objects closer than the near point, so that it makes a larger, and

Example: A magnifying glass with a focal length of 8.5 cm is used to read print placed at a distance 7.5 cm. Calculate (a) the position of the image; (b) the angular magnification

?

?

5.7

5.8

M

d

cmd

cmf

i

o

cmd

dfd

i

io

25

111

cmcmcmd i 75.63

1

5.7

1

5.8

11

cmd i 64

cm

cm

d

cmM

5.7

2525'

0

3.3M

Example: A person uses a converging lens of focal length 5.0 cm as a magnifying glass. What is the maximum possible magnification?

?

0.5

max

M

cmf0

25'

d

cmM

cmfdo 25

111

max

615

251

25max

f

cmM

Page 3: 5) Magnifying glass (Simple magnifier) A converging lens that allows one to focus on objects closer than the near point, so that it makes a larger, and

6)Telescopes

A refracting telescope consists of two lenses at opposite ends of a long tube. The objective lens is closest to the object, and the eyepiece is closest to the eye.

The magnification is given by:

e

o

o

e

f

f

fh

fhM

/

/'

lff eo

Page 4: 5) Magnifying glass (Simple magnifier) A converging lens that allows one to focus on objects closer than the near point, so that it makes a larger, and

Example: A170x astronomical telescope is adjusted for a relaxed eye when the two lenses are 1.25 m apart. What is the focal length of each lens?

?

?

25.1

170

e

o

eo

f

f

mff

Me

o

f

fM

1

125125

M

cmf

f

fcmM e

e

e

cmfo 124

Example: A student constructs an astronomical telescope with a magnification of 10. If the telescope has a converging lens of focal length 50 cm, what is the focal length of the eyepiece?What is the resulting length of the telescope?

?

?

50

10

l

f

cmf

M

e

o e

o

f

fM

'

cmcm

M

ff e 0.5

10

500

cmcmcmffl eo 55550

73.0 cmf e

Page 5: 5) Magnifying glass (Simple magnifier) A converging lens that allows one to focus on objects closer than the near point, so that it makes a larger, and

6a) Different types of telescopes

Astronomical telescopes need to gather as much light as possible, meaning that the objective must be as large as possible. Hence, mirrors are used instead of lenses, as they can be made much larger and with more precision.

A terrestrial telescope, used for viewing objects on Earth, should produce an upright image. Here are two models, a Galilean type and a spyglass:

Page 6: 5) Magnifying glass (Simple magnifier) A converging lens that allows one to focus on objects closer than the near point, so that it makes a larger, and

7) Compound Microscope

A compound microscope also has an objective and an eyepiece; it is different from a telescope in that the object is placed very close to the eyepiece.

The magnification is given by:

0

00

25

25

ff

lcmM

d

fl

f

cmmMM

e

e

ee