Q. 15

# Three rays (1, 2,

Answer :

Given:

Refractive index for ray 1, R1=1.39

Refractive index for ray 2, R1=1.47

Refractive index for ray 3, R1=1.52

Refractive index for air, μ1=1

Calculation:

The condition for total internal reflection is given by,

sin C = μ/R

Where C = critical angle

μ=Refractive index for air

R=refractive index of ray

For ray 1:

sin C1 = μ1/R1

C1=sin 1(1/1.39)

C1=460

For ray 2:

sin C2 = μ1/R2

C2=sin 1(1/1.47)

C2=42.860

For ray 3:

sin C3 = μ1/R3

C3=sin 1(1/1.52)

C3=41.130

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