A small underwater pool light is 1.46 m below the surface of a swimming pool.What is the radius of the circle of light on the surface,from which light emerges from the water? (n_water = 1.333). A) 2.53 m B) 1.29 m C) 1.66 m D) 1.88 m E) 1.10 m

Question

Quizplus · Accepted Answer

We can use the formula: 
(radius of circle of light on the surface)^2 = (distance of light from surface)^2 / (refractive index of water)^2 + 1
Plugging in the values, we get:
(radius of circle of light on surface)^2 = (1.46)^2 / (1.333)^2 + 1
(radius of circle of light on surface)^2 = 2.778
(radius of circle of light on surface) ≈ 1.66 m, rounded to two decimal places.
Therefore, the best choice is C.

A Small Underwater Pool Light Is 1