(nair= 1.0, and nwater = 1.33) 32.22 By what angle (cornea) is the beam of light shown in Figure 32.22 deviated as it passes from air to the cornea if the inci- dent angle is 0₁ = 23.6°? The refractive in dex of air is nair = 1.00, the refractive in- 32.23 The ability of your eyes to fo- cus is impaired when you attempt to look around underwater (if you are not wear- ing a pair of swimming goggles). Recal- culate your answer for Problem 32.22 for the case in which the eye is submerged in water (nwater = : 1.33).

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3:28 PM Wed Feb 14
16 of 102
32
.
32.18 A beam of white light passes
through a 1.5 cm thick pane of glass at
an angle of 45° as shown in Figure 32.20.
The refractive index of the glass for light
of wavelength 470 nm (deep blue) is 1.66
while the refractive index of the glass for
light of wavelength 630 nm (bright red) is
1.60.
THE NATURE OF LIGHT
(a) What is the spacing, S, between the
red and blue components of a nar-
row beam after they have passed
through the pane of glass?
(b) Use your answer in (a) to explain
why we do we not ordinarily see the
effects of dispersion when looking
through flat
of glass.
panes
(c) How thick would the pane of glass
need to be for the separation of the
red and blue rays to be 1 cm?
Incoming
light
Air
n = 1.00
0
Reflected
light
Droplet
n = 1.33
R
TOB
Refracted
light
Figure 32.21 A beam of light hits a spherical water
droplet.
●●●
lyceum.bates.edu
32.19 A beam of light of wavelength
550 nm strikes a water droplet as shown
in Figure 32.21. What are the angles A
and B at which the reflected and re-
fracted beams travel?
32.20 A fish in a pond looks up and sees
the light from a street lamp at an angle
of 35° to the vertical. If the street light is
5.5 m tall and the fish is 30 cm below the
surface of the pond and 3 m from its edge,
how far from the edge of the pond is the
street lamp? (nair 1, and water
1.33)
=
=
32.21 Two divers jump out of their boat
and swim straight down to a depth of
10 m. The water surface becomes calm
again very quickly after the divers jump
in. Once the divers reach their final depth
they begin to swim in opposite directions
at the same rate while periodically stop-
ping to shine a flashlight back at the sur-
face of the water where they had jumped
in. After the divers have swum far enough
apart they begin to notice a strong reflec-
tion from the other diver's flashlight that
was not present before. How far apart
are divers when this starts to happen?
(nair = 1.0, and water
: 1.33)
=
=
32.22 By what angle (cornea) is the beam
of light shown in Figure 32.22 deviated as
it
passes from air to the cornea if the inci-
dent angle is 0₁ 23.6°? The refractive in-
1.00, the refractive in-
=
dex of air is nair
dex of the cornea is cornea = 1.38. Ignore
further deviation of light as it ]
passes from
the cornea into the aqueous humour, etc.
Aqueous
humour
n = 1.34
Air
n = 1.00
Cornea
n = 1.38
Perpendicular
to cornea
Vitreous
humour
n = 1.34
Ꮎ
cornea
80%
Lens
n = 1.39 to 1.41
Figure 32.22 Most of the bending of light in the eye is
done at the air-cornea interface. The lens is responsible
for only a small amount of the bending, but of course is
adjustable.
32.23 The ability of your eyes to fo-
cus is impaired when you attempt to look
around underwater (if you are not wear-
ing a pair of swimming goggles). Recal-
culate your answer for Problem 32.22 for
the case in which the eye is submerged in
water (nwater = 1.33).
Transcribed Image Text:3:28 PM Wed Feb 14 16 of 102 32 . 32.18 A beam of white light passes through a 1.5 cm thick pane of glass at an angle of 45° as shown in Figure 32.20. The refractive index of the glass for light of wavelength 470 nm (deep blue) is 1.66 while the refractive index of the glass for light of wavelength 630 nm (bright red) is 1.60. THE NATURE OF LIGHT (a) What is the spacing, S, between the red and blue components of a nar- row beam after they have passed through the pane of glass? (b) Use your answer in (a) to explain why we do we not ordinarily see the effects of dispersion when looking through flat of glass. panes (c) How thick would the pane of glass need to be for the separation of the red and blue rays to be 1 cm? Incoming light Air n = 1.00 0 Reflected light Droplet n = 1.33 R TOB Refracted light Figure 32.21 A beam of light hits a spherical water droplet. ●●● lyceum.bates.edu 32.19 A beam of light of wavelength 550 nm strikes a water droplet as shown in Figure 32.21. What are the angles A and B at which the reflected and re- fracted beams travel? 32.20 A fish in a pond looks up and sees the light from a street lamp at an angle of 35° to the vertical. If the street light is 5.5 m tall and the fish is 30 cm below the surface of the pond and 3 m from its edge, how far from the edge of the pond is the street lamp? (nair 1, and water 1.33) = = 32.21 Two divers jump out of their boat and swim straight down to a depth of 10 m. The water surface becomes calm again very quickly after the divers jump in. Once the divers reach their final depth they begin to swim in opposite directions at the same rate while periodically stop- ping to shine a flashlight back at the sur- face of the water where they had jumped in. After the divers have swum far enough apart they begin to notice a strong reflec- tion from the other diver's flashlight that was not present before. How far apart are divers when this starts to happen? (nair = 1.0, and water : 1.33) = = 32.22 By what angle (cornea) is the beam of light shown in Figure 32.22 deviated as it passes from air to the cornea if the inci- dent angle is 0₁ 23.6°? The refractive in- 1.00, the refractive in- = dex of air is nair dex of the cornea is cornea = 1.38. Ignore further deviation of light as it ] passes from the cornea into the aqueous humour, etc. Aqueous humour n = 1.34 Air n = 1.00 Cornea n = 1.38 Perpendicular to cornea Vitreous humour n = 1.34 Ꮎ cornea 80% Lens n = 1.39 to 1.41 Figure 32.22 Most of the bending of light in the eye is done at the air-cornea interface. The lens is responsible for only a small amount of the bending, but of course is adjustable. 32.23 The ability of your eyes to fo- cus is impaired when you attempt to look around underwater (if you are not wear- ing a pair of swimming goggles). Recal- culate your answer for Problem 32.22 for the case in which the eye is submerged in water (nwater = 1.33).
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