What is the maximum radius that this circle could have?

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SUMMARY

The maximum radius of the illuminated circle on the surface of the lake, with a point source of light submerged 2.6 m below, can be determined using Snell's Law. Given the refractive indices of air (nair = 1.00) and water (nwater = 1.33), the critical angle can be calculated. Rays of light emitted from the source will refract at the water's surface, and the maximum radius occurs when the angle of incidence reaches the critical angle, leading to total internal reflection.

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  • Explore the concept of total internal reflection in optics
  • Investigate how depth affects light dispersion in water
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A point source of light is submerged 2.6 m below the surface of a lake and emits rays in all directions. On the surface of the lake, directly above the source, the area illuminated is a circle. What is the maximum radius that this circle could have?

No idea where to begin this one - nair = 1.00 nwater = 1.33 and
n1sin01 = n2sin02
 
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Draw yourself a picture showing various rays of light emitted in all directions. What happens as they hit the surface of the water? Examine how the angle of incidence relates to the angle of refraction.
 

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