nair 1.00 air d medium 1 d medium 2 2d air nair1.00 A light ray hits a composite

Question

nair 1.00 air d medium 1 d medium 2 2d air nair1.00 A light ray hits a composite slab of material at an angle as shown in the diagram. In this case. -383, n-11 n-134 What is the angle of refraction as the light ray passes from air into the first medium? eretraction, 1 Note: the diagram is not drawn to scale What is the angle of refraction as the light ray passes from medium 1 into medium 2? eretraction 2 Check If the light has a wavelength of -617.2 nm in air, what is its wavelength in medium 1? nm Check What is the largest value or 2 for which light will pass trom medium 2 into the air on the other side or the block? Here 2 refers to the angle the light ray makes with the normal inside medium

Explanation / Answer

        n1 = 1.11

        n2 = 1.34

incident angle, i = 38.3o

Angle of refraction is    no sin i = n1 sin r

1x Sin(38.3o) = 1.11 sin (r )

sin (r) = (1 / 1.11 ) sin (38.3o)

sin (r) = 0.9009 x0.6198

sin (r) = 0.558

r = sin-1 (0.558)

=33.92o

Angle of refraction, r =33.92o

2. Angle of refraction from medium1 to medium 2

    n1 sin i = n2 sin r

1.11 sin (33.92o ) = 1.34 sin (r2)

Sin (r2) = (1.11/1.34) x 0.558

r2 = sin-1 (0.462)

r2 =27.53o

Angle of refraction from medium 1 to medium 2 is 27.53o

3. n1 = a/ 1

1.11 x 617.2 x10-9 =1

1 = 6.851x10-7m or 684.1nm

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