Problem 08: A triangular glass prism, with index of refraction ng, is immersed in a strongly refracting, transparent liquid (not water!) with index of refraction nµ. A light ray, traveling through the liquid, strikes the bottom-left surface of the prism and is refracted into the prism, as shown below, with the angles a = 72° and B = 39. State the values of the Angle of Incidence (Aol) and of the Angle of Refraction (AoR) of this refraction process, and whether the glass or the liquid has the greater index of re- fraction. B (A) Aol= 72°, AoR=39° (B) Aol= 18 (C) Aol= 18° (D) Aol= 72° , nc > L - AoR= 51° , nL > nG - AoR=51° ng > n . AoR= 39° (E) Aol= 18 AoR= 39°
Problem 08: A triangular glass prism, with index of refraction ng, is immersed in a strongly refracting, transparent liquid (not water!) with index of refraction nµ. A light ray, traveling through the liquid, strikes the bottom-left surface of the prism and is refracted into the prism, as shown below, with the angles a = 72° and B = 39. State the values of the Angle of Incidence (Aol) and of the Angle of Refraction (AoR) of this refraction process, and whether the glass or the liquid has the greater index of re- fraction. B (A) Aol= 72°, AoR=39° (B) Aol= 18 (C) Aol= 18° (D) Aol= 72° , nc > L - AoR= 51° , nL > nG - AoR=51° ng > n . AoR= 39° (E) Aol= 18 AoR= 39°
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Transcribed Image Text:Problem 08: A triangular glass prism, with index of refraction ng, is immersed in a strongly
refracting, transparent liquid (not water!) with index of refraction nį. A light ray, traveling
through the liquid, strikes the bottom-left surface of the prism and is refracted into the
prism, as shown below, with the angles a = 72° and 8 = 39°.
State the values of the Angle of Incidence (Aol) and of the Angle of Refraction (AoR)
of this refraction process, and whether the glass or the liquid has the greater index of re-
fraction.
a
nG
(A) Aol= 72°
(B) Aol= 18°
(C) Aol= 18°
(D) Aol= 72°
(E) Aol= 18o
AoR= 39°
ng > NL .
AoR= 51°
nL > ng .
AoR= 51°
ng > NL .
AoR= 39°
nL > NG .
AoR= 39°
ng > NL .
Transcribed Image Text:Problem 09: Referring to the light ray being refracted at the prism surface in the preceding
Problem, consider what happens when the angle a is gradually reduced. At what (reduced)
value of a, if any, will the refracted light ray inside the prism disappear? In other words,
what is the maximum value of a, for which, if at all, total internal reflection (TIR)
occurs at the prism surface?
Hint: Use the values of a and ß given in the preceding Problem, to find the ratio ng/n.
You only need that ratio!
a
B
nG
(A) aMax
41.4°
(B) aMax = 23.4°
(C) TIR will not occur for any value of a because the Angle of Refraction is always smaller
than the Angle of Incidence, for any a.
(D) TIR will not occur for any value of a because the Angle of Refraction is always greater
than the Angle of Incidence, for any a.
(E) TIR will not occur for any value of a because the liquid has a higher index of refraction
than the glass: ni > nG.
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