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

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