A ray of light travels from air into another medium, making an angle of 01- 45.0

Question

A ray of light travels from air into another medium, making an angle of 01- 45.0° with the normal as in the figure below. ci Air Second medium ?2 (a) Find the angle of refraction ?2 if the second medium is fluorite. (The index of refraction for fluorite is 1.43%) (b) Find the angle of refraction ?2 if the second medium is carbon disulfide. CThe index of refraction for carbon disufideis 1,528.) (c) Find the angle of refraction ?2 if the second medium is zircon. (The index of refraction for zircon is 1.923.) Need Help? Talk to a Tutor Submit A

Explanation / Answer

a) Here
n1 = 1 (for air)
n2 = 1.434
theta1 = 45 degrees
theta2 = ?

use Snell's law

sin(theta1)/sin(theta2) = n2/n1

sin(45)/sin(theta2) = 1.434/1

==> sin(theta2) = sin(45)/1.434

theta2 = sin^-1(0.4931)

= 29.5 degrees

b)

Here
n1 = 1 (for air)
n2 = 1.628
theta1 = 45 degrees
theta2 = ?

use Snell's law

sin(theta1)/sin(theta2) = n2/n1

sin(45)/sin(theta2) = 1.628/1

==> sin(theta2) = sin(45)/1.628

theta2 = sin^-1(0.4343)

= 25.7 degrees

c)
Here
n1 = 1 (for air)
n2 = 1.923
theta1 = 45 degrees
theta2 = ?

use Snell's law

sin(theta1)/sin(theta2) = n2/n1

sin(45)/sin(theta2) = 1.923/1

==> sin(theta2) = sin(45)/1.923

theta2 = sin^-1(0.3677)

= 21.6 degrees

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