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Total internal reflection - Ray optics and optical instruments

Question

A point source of light is placed at a distance h below the surface of a large deep lake. The maximum area of the water surface through which light can  escape directly from the water surface is πh2 n13square meter then n is……  Refractive index of water = 43

Moderate
Solution

The critical angle is C= sin-11μ
 WHEN light source is at a depth h 

Rh=tan c    given R.I  OF water =43

so R= 3h 13 maximum area through which light escapes = πh2913 m2

so n=9



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