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A point source of light is immersed in water (assumed to be completely transparent). Light travels out in all direction from the source. If for a position of the source, fraction of light energy that escapes the water surface is f then as the source is moved deeper into the water.

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f increases

f does not depend on the refractive index of water

f remains same

f decreases

answer is C.

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Detailed Solution

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Only that portion of incident light will escape which passes through the cone of angle $θ = 2 c$ .

So, the fraction of light escaping,

$f = \frac{area ACB}{total area of sphere} = \frac{2 π R^{2} (1 - \cos c)}{4 π R^{2}} = \frac{1 - \cos c}{2}$

here

c is critical angle.

f does not depend on the depth of source.

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