rning Goal: earn and practice the geometry skills necessary for plex reflection setups. law of reflection has the very simple form incident = reflected, ere incident is the angle between the normal and the dent ray and reflected is the angle between the normal the reflected ray. Although the law itself is easy to , many realistic situations involve successive ections from multiple surfaces. The law of reflection s not become any more complicated in such cases, the geometry of the rays does become complicated. sider the case of light shining onto a mirror which is If the light strikes the first mirror at an angle 0₁, wha Express your answer in terms of 0₁. 02 = 01 Submit Previous Answers ✓ Correct

Inquiry into Physics
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Chapter9: Optics
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Learning Goal:
To learn and practice the geometry skills necessary for
complex reflection setups.
The law of reflection has the very simple form
Oreflected,
Vincident
=
where incident is the angle between the normal and the
incident ray and reflected is the angle between the normal
and the reflected ray. Although the law itself is easy to
use, many realistic situations involve successive
reflections from multiple surfaces. The law of reflection
does not become any more complicated in such cases,
but the geometry of the rays does become complicated.
Consider the case of light shining onto a mirror, which is
attached to another mirror at some angle a, as shown in
the figure (Figure 1). In this problem, we will find the angle
at which light leaves the arrangement of two mirrors.
Figure
1 of 2
>
Part A
If the light strikes the first mirror at an angle 0₁, what is the reflected angle 02?
Express your answer in terms of 0₁.
0₂ = 0₁
Submit
Part B
Correct
Previous Answers
Now, find the angle 03 (shown in the new figure (Figure 2)) in terms of 0₁. You can easily fi
02, then just substitute your expression from Part A.
03 =
Express your answer in terms of 0₁ and any numerical angles. When entering numer
assume the value is in degrees, so just use the number "23" to indicate 23 degrees.
View Available Hint(s)
—| ΑΣΦ
xa
Xb
a
مات
√x vx
१४
<४
O
|X|
?
X.10n
◀
wwwww
Transcribed Image Text:Learning Goal: To learn and practice the geometry skills necessary for complex reflection setups. The law of reflection has the very simple form Oreflected, Vincident = where incident is the angle between the normal and the incident ray and reflected is the angle between the normal and the reflected ray. Although the law itself is easy to use, many realistic situations involve successive reflections from multiple surfaces. The law of reflection does not become any more complicated in such cases, but the geometry of the rays does become complicated. Consider the case of light shining onto a mirror, which is attached to another mirror at some angle a, as shown in the figure (Figure 1). In this problem, we will find the angle at which light leaves the arrangement of two mirrors. Figure 1 of 2 > Part A If the light strikes the first mirror at an angle 0₁, what is the reflected angle 02? Express your answer in terms of 0₁. 0₂ = 0₁ Submit Part B Correct Previous Answers Now, find the angle 03 (shown in the new figure (Figure 2)) in terms of 0₁. You can easily fi 02, then just substitute your expression from Part A. 03 = Express your answer in terms of 0₁ and any numerical angles. When entering numer assume the value is in degrees, so just use the number "23" to indicate 23 degrees. View Available Hint(s) —| ΑΣΦ xa Xb a مات √x vx १४ <४ O |X| ? X.10n ◀ wwwww
Figure
0₂
03
<
al
2 of 2
>
Transcribed Image Text:Figure 0₂ 03 < al 2 of 2 >
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Follow-up Question
Figure
0₂
05
03
04
<
4 of 4
Part D
Find the angle 06 shown in the figure (Figure 4)in terms of 0₁ and a. You will need to assume that 04 < 90°,
as it appears in the picture.
Express your answer in terms of 0₁, a, and any numerical angles.
► View Available Hint(s)
06 =
Submit
Provide Feedback
VE ΑΣΦ
?
Next >
Transcribed Image Text:Figure 0₂ 05 03 04 < 4 of 4 Part D Find the angle 06 shown in the figure (Figure 4)in terms of 0₁ and a. You will need to assume that 04 < 90°, as it appears in the picture. Express your answer in terms of 0₁, a, and any numerical angles. ► View Available Hint(s) 06 = Submit Provide Feedback VE ΑΣΦ ? Next >
Solution
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Follow-up Question
Figure
0₂
03
04
< 3 of 3
>
Transcribed Image Text:Figure 0₂ 03 04 < 3 of 3 >
Part C
Now, find the angle 04 shown in the figure (Figure 3)in terms of 0₁ and a.
Express your answer in terms of 0₁, a, and any numerical angles.
► View Available Hint(s)
VE ΑΣΦ
04 =
Submit
?
Transcribed Image Text:Part C Now, find the angle 04 shown in the figure (Figure 3)in terms of 0₁ and a. Express your answer in terms of 0₁, a, and any numerical angles. ► View Available Hint(s) VE ΑΣΦ 04 = Submit ?
Solution
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