32.17 The glass half-cylinder prism shown in Figure 32.19 is used to measure the critical angle for light of various wave- lengths. For red light the critical angle measured was 36.78°. For blue light the critical angle was 36.28° (The refractive index of air is n = 1.0). F 9 Р p (a) What is the refractive index of the P glass for red light? (b) What is the refractive index of the glass for blue light?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Need help with question I7

3:28 PM Wed Feb 14
B
<>
32.13
B HumaG paletine bon...
white
40°
AA
n₁ = 1.0
L
n2(red)
¹₂(blue)
Figure 32.17
= 1.60
= 1.65
blue
red
A
G humerus bo...
Figure 32.17 shows white light being
split into its colour components by dis-
persion in a rectangular glass block.
Only the red and blue components are
shown for simplicity.
(a) If the width of the block is L = 2 cm
then what is the separation s be-
tween the red and blue
rays when
they reach the other side of the
block?
(b) What would the width of the block
L need to be to increase the seper-
ations between the red and blue
rays to 2 mm on the other side of the
block?
32.14 A diagnostic device uses a bright
red laser light to illuminate structures
just under the surface of the skin. Light
from the laser passes first through the air,
and then the skin, to scatter off the sub-
cutaneous structures that are to be im-
aged. The scattered light passes back
through the skin and into an optical de-
vice which forms an image of the scat-
tered light on a CCD array. The laser light
used has a wavelength of 633.0 nm in a
vacuum. The refractive indices of air, the
glass used in the imaging optics, and skin
are 1.008, 1.700, and 1.381 respectively.
(Use c = 2.998 × 108 m s-1 for this ques-
tion.)
(a) What is the frequency of the red
light when it passes through each
material?
(b) What is the wavelength of the red
lyceum.bates.edu
●●●
Q The Appendi...
light as it passes through each ma-
terial?
(c) How fast does the red light travel
through each material?
=
32.15 It is not possible to make images
of, and therefore see, arbitrarily small ob-
jects using visible light. The minimum
size of an object that can be 'seen' by
light using conventional optics is roughly
equal to a few times the wavelength of the
light used. If a bacterium that is 1.2 µm
across can just be seen using a particular
optical system when the bacteria is float-
ing in a watery solution (nsolution = 1.35),
what will be the minimum size of bac-
terium that this optical system could 'see'
in air (nair
1.0)?
(b)
32.16 Light strikes a mirror as shown
in Figure 32.18. This mirror has another
mirror placed at right angles to it. Such
an arrangement of mirrors is known as a
corner reflector. At what angle does the
light get reflected back (i.e. what angle is
the outgoing light at when it crosses the
dotted line)?
Incoming 20°
light
Mirror
Surfaces
45°
x lyceum.bate... Class BIO 28...
45
Figure 32.18 Two mirrors are placed a right angles to
one and other. This arrangement of mirrors reflects light
in a particular fashion, making them useful for a range of
purposes.
32.17 The glass half-cylinder prism
shown in Figure 32.19 is used to measure
the critical angle for light of various wave-
lengths. For red light the critical angle
measured was 36.78°. For blue light the
critical angle was 36.28° (The refractive
index of air is n = 1.0).
(a) What is the refractive index of the
glass for red light?
What is the refractive index of the
glass for blue light?
0₁<0
0₁-0₁
15°
-0°
Ꮎ . 15°
30°
0₁>0
0.
klin. Kirsten, et al. Introduction to Biological Physics for the Health and Life Sciences. John Wiley & Sons. Incorporated. 2019. ProQuest Ebook Central.
Blue
light
30°
45°
15°
0°
15°
45°
45°
Ć
750
30°
45
30°
15°
0°
15 H
60
30° H
45°
%
%
ni
ថា
n₁
n1
1₂
n₂
5
M₂
60⁰
45°
1.5 cm
30°
60°
45°
15°
30°
45
30°
45°
0°
15°
45°
15°
0°
30°
15°
0₂
30°
15°
¹0°
15°
30°
Air
Air Glass
Red red 1.60 nair
light
nblue
= 1.66
Figure 32.19 A glass half-cylinder prism is constructed
from a section of a glass half cylinder. A beam of light
aimed towards the center of the apparatus will not be re-
fracted at the first air-light interface as the incident angle
will be 0° and sin 0° = 0.
+
80%
= 90°
= 1.0
√45°
White
light
373
ra...
Figure 32.20 A beam of white light passes through a
glass pane. Dispersion causes the red and blue com-
ponents of the light to be bent at different angles. After
passing through the pane of glass the red and blue com-
ponents are slightly offset.
Transcribed Image Text:3:28 PM Wed Feb 14 B <> 32.13 B HumaG paletine bon... white 40° AA n₁ = 1.0 L n2(red) ¹₂(blue) Figure 32.17 = 1.60 = 1.65 blue red A G humerus bo... Figure 32.17 shows white light being split into its colour components by dis- persion in a rectangular glass block. Only the red and blue components are shown for simplicity. (a) If the width of the block is L = 2 cm then what is the separation s be- tween the red and blue rays when they reach the other side of the block? (b) What would the width of the block L need to be to increase the seper- ations between the red and blue rays to 2 mm on the other side of the block? 32.14 A diagnostic device uses a bright red laser light to illuminate structures just under the surface of the skin. Light from the laser passes first through the air, and then the skin, to scatter off the sub- cutaneous structures that are to be im- aged. The scattered light passes back through the skin and into an optical de- vice which forms an image of the scat- tered light on a CCD array. The laser light used has a wavelength of 633.0 nm in a vacuum. The refractive indices of air, the glass used in the imaging optics, and skin are 1.008, 1.700, and 1.381 respectively. (Use c = 2.998 × 108 m s-1 for this ques- tion.) (a) What is the frequency of the red light when it passes through each material? (b) What is the wavelength of the red lyceum.bates.edu ●●● Q The Appendi... light as it passes through each ma- terial? (c) How fast does the red light travel through each material? = 32.15 It is not possible to make images of, and therefore see, arbitrarily small ob- jects using visible light. The minimum size of an object that can be 'seen' by light using conventional optics is roughly equal to a few times the wavelength of the light used. If a bacterium that is 1.2 µm across can just be seen using a particular optical system when the bacteria is float- ing in a watery solution (nsolution = 1.35), what will be the minimum size of bac- terium that this optical system could 'see' in air (nair 1.0)? (b) 32.16 Light strikes a mirror as shown in Figure 32.18. This mirror has another mirror placed at right angles to it. Such an arrangement of mirrors is known as a corner reflector. At what angle does the light get reflected back (i.e. what angle is the outgoing light at when it crosses the dotted line)? Incoming 20° light Mirror Surfaces 45° x lyceum.bate... Class BIO 28... 45 Figure 32.18 Two mirrors are placed a right angles to one and other. This arrangement of mirrors reflects light in a particular fashion, making them useful for a range of purposes. 32.17 The glass half-cylinder prism shown in Figure 32.19 is used to measure the critical angle for light of various wave- lengths. For red light the critical angle measured was 36.78°. For blue light the critical angle was 36.28° (The refractive index of air is n = 1.0). (a) What is the refractive index of the glass for red light? What is the refractive index of the glass for blue light? 0₁<0 0₁-0₁ 15° -0° Ꮎ . 15° 30° 0₁>0 0. klin. Kirsten, et al. Introduction to Biological Physics for the Health and Life Sciences. John Wiley & Sons. Incorporated. 2019. ProQuest Ebook Central. Blue light 30° 45° 15° 0° 15° 45° 45° Ć 750 30° 45 30° 15° 0° 15 H 60 30° H 45° % % ni ថា n₁ n1 1₂ n₂ 5 M₂ 60⁰ 45° 1.5 cm 30° 60° 45° 15° 30° 45 30° 45° 0° 15° 45° 15° 0° 30° 15° 0₂ 30° 15° ¹0° 15° 30° Air Air Glass Red red 1.60 nair light nblue = 1.66 Figure 32.19 A glass half-cylinder prism is constructed from a section of a glass half cylinder. A beam of light aimed towards the center of the apparatus will not be re- fracted at the first air-light interface as the incident angle will be 0° and sin 0° = 0. + 80% = 90° = 1.0 √45° White light 373 ra... Figure 32.20 A beam of white light passes through a glass pane. Dispersion causes the red and blue com- ponents of the light to be bent at different angles. After passing through the pane of glass the red and blue com- ponents are slightly offset.
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