Think & Prepare R' You have three unkowns in this problem, the angle of refraction R, the angle of refraction and n. and n. 1. Set-up Snell's Law equation relating e, R 2. Set-up the critical angle relationship between 0 and n 3.0+0 0 = ? R 4. You may need some trigonometric identities such as sin (90° - 0) = ? and sine = 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 OA ○ AB CD ○ AC ○ BD a. A ray of light enters a fiber optic cable with index of refraction n from air at an angle e 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 = nair = 1 0 θα θα n

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Chapter1: Units, Trigonometry. And Vectors
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Think & Prepare
R'
You have three unkowns in this problem, the angle of refraction R, the angle of refraction and n.
and n.
1. Set-up Snell's Law equation relating e, R
2. Set-up the critical angle relationship between 0 and n
3.0+0
0 = ?
R
4. You may need some trigonometric identities such as sin (90° - 0) = ? and
sine
= 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
OA
○ AB
CD
○ AC
○ BD
Transcribed Image Text:Think & Prepare R' You have three unkowns in this problem, the angle of refraction R, the angle of refraction and n. and n. 1. Set-up Snell's Law equation relating e, R 2. Set-up the critical angle relationship between 0 and n 3.0+0 0 = ? R 4. You may need some trigonometric identities such as sin (90° - 0) = ? and sine = 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 OA ○ AB CD ○ AC ○ BD
a. A ray of light enters a fiber optic cable with index of refraction n from air at an angle e 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 =
nair = 1
0
θα
θα
n
Transcribed Image Text:a. A ray of light enters a fiber optic cable with index of refraction n from air at an angle e 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 = nair = 1 0 θα θα n
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