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A ray of light refracts from medium 1 into a thin layer of medium 2, crosses the layer and is incident at the critical angle on the interface between the medium 2 and 3 as shown in the figure. If the angle of incidence of ray is , the value of is

Options

  1. A⁻¹ ( 8 9 )
  2. B⁻¹ ( 13 18 )
  3. C⁻¹ ( 13 16 )
  4. D⁻¹ ( 8 13 )

Correct answer

B. ⁻¹ ( 13 18 )

Step-by-step solution

As the light ray incident at critical angle, aligned & C= ₃ ₂ = 1.3 1.8 and C=r & r= 1.3 1.8 & = 1.8 1.6 1.3 1.8 = 13 16 & = ⁻¹ ( 13 16 ) aligned

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