. a. A ray of light enters a fiber optic cable with index of refraction n from air at an angle as shown below. Let the angle 0 be 69°. For total internal reflection to occur at the cable- air interface, what must be the value of n? n=1.3 nair = 1 Bd OR 8 n Think & Prepare You have three unkowns in this problem, the angle of refraction R, the angle of refraction and n. 1. Set-up Snell's Law equation relating 6, R, and n. 2. Set-up the critical angle relationship between cand n 3.0+0=? sine 4. You may need some trigonometric identities such as sin (90° - 0) = ? and = 2. cose b. In the problem above, the angle e increases. How does this affect what n must be to ensure total internal reflection? A) n will decrease because the critical angle will become larger B) n will decrease becuase the equation for the critical angle is proportional to 1/n of the material C) n will increase because the critical angle will become smaller D) n will increase becuase the equation for the critical angle is proportional to 1/n of the material ○ A AB O CD AC BD No, that's only partially correct

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Chapter1: Units, Trigonometry. And Vectors
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. a. A ray of light enters a fiber optic cable with index of refraction n from air at an angle
as shown below. Let the angle 0 be 69°. For total internal reflection to occur at the cable-
air interface, what must be the value of n?
n=1.3
nair = 1
Bd
OR
8
n
Think & Prepare
You have three unkowns in this problem, the angle of refraction R, the angle of
refraction
and n.
1. Set-up Snell's Law equation relating 6, R, and n.
2. Set-up the critical angle relationship between cand n
3.0+0=?
sine
4. You may need some trigonometric identities such as sin (90° - 0) = ? and
= 2.
cose
b. In the problem above, the angle e increases. How does this affect what n must be to
ensure total internal reflection?
A) n will decrease because the critical angle will become larger
B) n will decrease becuase the equation for the critical angle is proportional to 1/n of the
material
C) n will increase because the critical angle will become smaller
D) n will increase becuase the equation for the critical angle is proportional to 1/n of the
material
○ A
AB
O CD
AC
BD
No, that's only partially correct
Transcribed Image Text:. a. A ray of light enters a fiber optic cable with index of refraction n from air at an angle as shown below. Let the angle 0 be 69°. For total internal reflection to occur at the cable- air interface, what must be the value of n? n=1.3 nair = 1 Bd OR 8 n Think & Prepare You have three unkowns in this problem, the angle of refraction R, the angle of refraction and n. 1. Set-up Snell's Law equation relating 6, R, and n. 2. Set-up the critical angle relationship between cand n 3.0+0=? sine 4. You may need some trigonometric identities such as sin (90° - 0) = ? and = 2. cose b. In the problem above, the angle e increases. How does this affect what n must be to ensure total internal reflection? A) n will decrease because the critical angle will become larger B) n will decrease becuase the equation for the critical angle is proportional to 1/n of the material C) n will increase because the critical angle will become smaller D) n will increase becuase the equation for the critical angle is proportional to 1/n of the material ○ A AB O CD AC BD No, that's only partially correct
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