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GATE EC 2017 Set 2 — Question 55

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NAT+2 / -0MediumBrewster & Total Internal ReflectionPlane WavesElectromagnetics

Electromagnetics → Plane Waves → Brewster & Total Internal Reflection

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Question

The permittivity of water at optical frequencies is 1.75ϵ01.75 \epsilon_0. It is found that an isotropic light source at a distance dd under water forms an illuminated circular area of radius 5 m5\text{ m}, as shown in the figure. The critical angle is θc\theta_c.
A diagram showing a light source at depth $d$ in water. Light rays travel upwards to the water-air interface. The rays at the critical angle $\theta_c$ define the boundary of an illuminated circular area of radius $5\text{ m}$ on the surface.
The value of dd (in meter) is ________.
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