The critical angle for total internal reflection at a liquid-air interface is 42

Question

The critical angle for total internal reflection at a liquid-air interface is 42.0?. Part A If a ray of light traveling in the liquid has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the air make with the normal? ? = ? SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part B If a ray of light traveling in air has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the liquid make with the normal? ? =   ? SubmitMy AnswersGive Up The critical angle for total internal reflection at a liquid-air interface is 42.0?. The critical angle for total internal reflection at a liquid-air interface is 42.0?. The critical angle for total internal reflection at a liquid-air interface is 42.0?. The critical angle for total internal reflection at a liquid-air interface is 42.0?. Part A If a ray of light traveling in the liquid has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the air make with the normal? ? = ? SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part B If a ray of light traveling in air has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the liquid make with the normal? ? =   ? SubmitMy AnswersGive Up Part A If a ray of light traveling in the liquid has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the air make with the normal? ? = ? SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part B If a ray of light traveling in air has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the liquid make with the normal? ? =   ? SubmitMy AnswersGive Up Part A If a ray of light traveling in the liquid has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the air make with the normal? ? = ? SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part B If a ray of light traveling in air has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the liquid make with the normal? ? =   ? SubmitMy AnswersGive Up Part A If a ray of light traveling in the liquid has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the air make with the normal? ? = ? SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part B If a ray of light traveling in air has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the liquid make with the normal? ? =   ? SubmitMy AnswersGive Up Part A If a ray of light traveling in the liquid has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the air make with the normal? ? = ? SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part A If a ray of light traveling in the liquid has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the air make with the normal? ? = ? SubmitMy AnswersGive Up Try Again; 9 attempts remaining ? = ? ? = ? SubmitMy AnswersGive Up Try Again; 9 attempts remaining Try Again; 9 attempts remaining Try Again; 9 attempts remaining Part B If a ray of light traveling in air has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the liquid make with the normal? ? =   ? SubmitMy AnswersGive Up Part B If a ray of light traveling in air has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the liquid make with the normal? ? =   ? SubmitMy AnswersGive Up ? =   ? ? =   ? SubmitMy AnswersGive Up The critical angle for total internal reflection at a liquid-air interface is 42.0?. Part A If a ray of light traveling in the liquid has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the air make with the normal? ? = ? SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part B If a ray of light traveling in air has an angle of incidence of 30.5? at the interface with respect to the normal, what angle does the refracted ray in the liquid make with the normal? ? =   ? SubmitMy AnswersGive Up

Explanation / Answer

Angle A = 42 degrees.
so the index of refraction of the liquid n = 1/sinA
(a) It a ray of light travelling in the liquid has an angle of incidence at the interface of B = 30.5 degrees, what angle C does the refracted ray in the air make with the normal?
nsinB = sinC
so C = arcsin(sinB/sinA) = 49.3 degrees

(b) If a ray of light travelling in air has an angle of incidence at the interface of B = 30.5 degrees, what angle C does the refracted ray in the liquid make with the normal?
sinB = nsinC
so C = arcsin(sinB*sinA) = 19.85 degrees

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