Geometrical OpticsHard
Question
The speed of light in media M1 and M2 are 1.5 × 108 m/s and 2.0 × 108 m/s respectively. A ray of light entres from medium M1 to M2 at an incident angle i. If the ray surffers total internal reflection, the value of i is
Options
A.Equal to sin-1
B.Equal to or less than sin-1 

C.Equal to or greater than sin-1 

D.Less than sin-1 

Solution
Refractive index for medium M1 is μ1 =
= 2
efractive index for medium M2 is μ2 =
For the internal reflection
sin i ≥ sin C
Where i = angle of incident
C = critical angle
But sin C =
sin i ≥
⇒ i ≥ sin-1
= 2efractive index for medium M2 is μ2 =
For the internal reflection
sin i ≥ sin C
Where i = angle of incident
C = critical angle
But sin C =
sin i ≥
⇒ i ≥ sin-1
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