A ray of light travels from air into another medium, making an angle of 1 = 45.0

Question

A ray of light travels from air into another medium, making an angle of 1 = 45.0° with the normal as in the figure below.

(a) Find the angle of refraction 2 if the second medium is fused quartz. (The index of refraction for fused quartz is 1.458.)
°

(b) Find the angle of refraction 2 if the second medium is flint glass. (The index of refraction for flint glass is 1.66.)
°

(c) Find the angle of refraction 2 if the second medium is sodium chloride. (The index of refraction for sodium chloride is 1.544.)
°

Explanation / Answer

here,

1 = A = 45
2 = B

From Snells Law , stating that the ratio of the sines of the angles of incidence and refraction of a wave are constant when it passes between two given media.

SinA/SinB = n

SinB = Sin A / n

B = arcSin(Sin 45 / n ) -----------------(1)

PART A :

from 1 and n = 1.458
B = arcSin(0.707 / 1.458 )
B = 29°

PARt B:

from 1 and n = 1.66
B = arcSin(0.707 / 1.66 )
B = 25.20°

PARt C:

from 1 and n = 1.544
B = arcSin(0.707 / 1.544 )
B = 27.25°

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