When light propagates from a material with a given index of refraction into a material with a smaller index of refraction, the speed of the light ▸ View Available Hint(s) O increases decreases O remains constant Submit Part B What is the minimum value that the index of refraction can have? ▸ View Available Hint(s) 0 +1 0-1 between 0 and 1 Submit

Principles of Physics: A Calculus-Based Text
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Chapter25: Reflection And Refraction Of Light
Section: Chapter Questions
Problem 7OQ: Light traveling in a medium of index of refraction n1 is incident on another medium having an index...
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Is Light Reflected or Refracted?
When light propagates through two adjacent materials that have different optical properties,
some interesting phenomena occur at the interface separating the two materials. For
example, consider a ray of light that travels from air into the water of a lake. As the ray
strikes the air-water interface (the surface of the lake), it is partly reflected back into the air
and partly refracted or transmitted into the water. This explains why on the surface of a lake
sometimes you see the reflection of the surrounding landscape and other times the
underwater vegetation.
These effects on light propagation occur because light travels at different speeds
depending on the medium. The index of refraction of a material, denoted by n. gives an
indication of the speed of light in the material. It is defined as the ratio of the speed of light
e in vacuum to the speed in the material, or
Figure
incident.
ray
interface
normal
n=
등.
62
reflected
ray
refracted
ray
< 1 of 1 >
▾
Review | Constants
Now consider a ray of light that propagates from water (n = 1.33) to air (n = 1). If the incident ray strikes the water-air interface at an angle 0, 0, which of the following relations regarding the angle of refraction,
8₂, is correct?
▸ View Available Hint(s)
8₂ > 0₁
O 0₂ <0₂
0
8₂=0₁
Submit
▾ Part D
Consider a ray of light that propagates from water (n = 1.33) to glass (n = 1.52). If the incident ray strikes the water-glass interface at an angle 0, 0, which of the following relations regarding the angle of
refraction is correct?
▸ View Available Hint(s)
0₂ > 0₁
O 02₂ 0₂
O 0₁
62 = 01
Submit
Part E
4 of 22 >
Consider a ray of light that propagates from air (n = 1) to any one of the materials listed below. Assuming that the ray strikes the interface with any of the listed materials always at the same angle 8₁, in which
material will the direction of propagation of the ray change the most due to refraction?
▸ View Available Hint(s)
ice (n = 1.309)
O water (n = 1.333)
O turpentine (n = 1.472)
Oglass (n = 1.523)
O diamond (2=2.417)
P Pearson
Transcribed Image Text:Is Light Reflected or Refracted? When light propagates through two adjacent materials that have different optical properties, some interesting phenomena occur at the interface separating the two materials. For example, consider a ray of light that travels from air into the water of a lake. As the ray strikes the air-water interface (the surface of the lake), it is partly reflected back into the air and partly refracted or transmitted into the water. This explains why on the surface of a lake sometimes you see the reflection of the surrounding landscape and other times the underwater vegetation. These effects on light propagation occur because light travels at different speeds depending on the medium. The index of refraction of a material, denoted by n. gives an indication of the speed of light in the material. It is defined as the ratio of the speed of light e in vacuum to the speed in the material, or Figure incident. ray interface normal n= 등. 62 reflected ray refracted ray < 1 of 1 > ▾ Review | Constants Now consider a ray of light that propagates from water (n = 1.33) to air (n = 1). If the incident ray strikes the water-air interface at an angle 0, 0, which of the following relations regarding the angle of refraction, 8₂, is correct? ▸ View Available Hint(s) 8₂ > 0₁ O 0₂ <0₂ 0 8₂=0₁ Submit ▾ Part D Consider a ray of light that propagates from water (n = 1.33) to glass (n = 1.52). If the incident ray strikes the water-glass interface at an angle 0, 0, which of the following relations regarding the angle of refraction is correct? ▸ View Available Hint(s) 0₂ > 0₁ O 02₂ 0₂ O 0₁ 62 = 01 Submit Part E 4 of 22 > Consider a ray of light that propagates from air (n = 1) to any one of the materials listed below. Assuming that the ray strikes the interface with any of the listed materials always at the same angle 8₁, in which material will the direction of propagation of the ray change the most due to refraction? ▸ View Available Hint(s) ice (n = 1.309) O water (n = 1.333) O turpentine (n = 1.472) Oglass (n = 1.523) O diamond (2=2.417) P Pearson
Is Light Reflected or Refracted?
When light propagates through two adjacent materials that have different optical properties,
some interesting phenomena occur at the interface separating the two materials. For
example, consider a ray of light that travels from air into the water of a lake. As the ray
strikes the air-water interface (the surface of the lake), it is partly reflected back into the air
and partly refracted or transmitted into the water. This explains why on the surface of a lake
sometimes you see the reflection of the surrounding landscape and other times the
underwater vegetation.
These effects on light propagation occur because light travels at different speeds
depending on the medium. The index of refraction of a material, denoted by n. gives an
indication of the speed of light in the material. It is defined as the ratio of the speed of light
e in vacuum to the speed in the material, or
n = {
Figure
incident
ray
interface.
€₂
reflected
ray
refracted
< 1 of 1 >
▾
When light propagates from a material with a given index of refraction into a material with a smaller index of refraction, the speed of the light
▸ View Available Hint(s)
O
increases.
O decreases.
O remains constant.
Submit
Part B
What is the minimum value that the index of refraction can have?
▸ View Available Hint(s)
O 0
O +1
O -1
O
between 0 and 1
Submit
4 of 22
An example of reflection and refraction of light is shown in the figure. (Figure 1)An incident ray of light travelling in the upper material strikes the interface with the lower material. The reflected ray travels back in the
upper material, while the refracted ray passes into the lower material. Experimental studies have shown that the incident, reflected, and refracted rays and the normal to the interface all lie in the same plane. Moreover,
the angle that the reflected ray makes with the normal to the interface, called the angle of reflection, is always equal to the angle of incidence. (Both of these angles are measured between the light ray and the normal to
the interface separating the two materials.) This is known as the law of reflection.
This is the law of refraction, also known as Snell's law.
Review | Constants
The direction of propagation of the refracted ray, instead, is given by the angle that the refracted ray makes with the normal to the interface, which is called the angle of refraction. The angle of refraction depends on the
angle of incidence and the indices of refraction of the two materials. In particular, if we let my be the index of refraction of the upper material and the index of refraction of the lower material, then the angle of
incidence, 8₁, and the angle of refraction, 2, satisfy the relation
n₁ sin ₁ = n₂ sin 02.
Transcribed Image Text:Is Light Reflected or Refracted? When light propagates through two adjacent materials that have different optical properties, some interesting phenomena occur at the interface separating the two materials. For example, consider a ray of light that travels from air into the water of a lake. As the ray strikes the air-water interface (the surface of the lake), it is partly reflected back into the air and partly refracted or transmitted into the water. This explains why on the surface of a lake sometimes you see the reflection of the surrounding landscape and other times the underwater vegetation. These effects on light propagation occur because light travels at different speeds depending on the medium. The index of refraction of a material, denoted by n. gives an indication of the speed of light in the material. It is defined as the ratio of the speed of light e in vacuum to the speed in the material, or n = { Figure incident ray interface. €₂ reflected ray refracted < 1 of 1 > ▾ When light propagates from a material with a given index of refraction into a material with a smaller index of refraction, the speed of the light ▸ View Available Hint(s) O increases. O decreases. O remains constant. Submit Part B What is the minimum value that the index of refraction can have? ▸ View Available Hint(s) O 0 O +1 O -1 O between 0 and 1 Submit 4 of 22 An example of reflection and refraction of light is shown in the figure. (Figure 1)An incident ray of light travelling in the upper material strikes the interface with the lower material. The reflected ray travels back in the upper material, while the refracted ray passes into the lower material. Experimental studies have shown that the incident, reflected, and refracted rays and the normal to the interface all lie in the same plane. Moreover, the angle that the reflected ray makes with the normal to the interface, called the angle of reflection, is always equal to the angle of incidence. (Both of these angles are measured between the light ray and the normal to the interface separating the two materials.) This is known as the law of reflection. This is the law of refraction, also known as Snell's law. Review | Constants The direction of propagation of the refracted ray, instead, is given by the angle that the refracted ray makes with the normal to the interface, which is called the angle of refraction. The angle of refraction depends on the angle of incidence and the indices of refraction of the two materials. In particular, if we let my be the index of refraction of the upper material and the index of refraction of the lower material, then the angle of incidence, 8₁, and the angle of refraction, 2, satisfy the relation n₁ sin ₁ = n₂ sin 02.
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