a scuba diver is wearing a head lamp and looking up at the surface of the water. if the minimum angle to the vertical resulting in total internal reflection is 25 degrees, what is the index of refraction of the water? assume the index of refraction of air

Respuesta :

The index of refraction of the water is equal to 2.37.

What is snell's law?

Snell's law can be described as a formula used to describe the relationship between the angles of incidence and angle of refraction, when the light passes through a boundary between two different medium like water, air, or glass.

Snell's law states that the ratio of the sines of the angle of incidence and angle of refraction is equal to the refractive index of the second medium which is  equal to the ratio of the refractive indices of the two media

[tex]{\displaystyle {\frac {\sin \theta _{1}}{\sin \theta _{2}}}=n_{21}={\frac {n_{2}}{n_{1}}}={\frac {v_{1}}{v_{2}}}}[/tex]

Given, the angle of incidence, i = 25°

The index of refraction of air, n₂ = 1.00

By using Snell's law, we can find  the index of refraction of the water:

[tex]{\displaystyle {\frac {\sin i}{\sin 90}={\frac {1}{n_{1}}}[/tex]

[tex]{\displaystyle n_1 = {\frac {1}{\sin 25}[/tex]

n₁ = 2.37

Learn more about Snell's law, here:

https://brainly.com/question/2273464

#SPJ1