11) Consider the internal reflection of light at the interface between water and ice. For convenience, the index of refraction for a variety of materials is provided below.a) What is the minimum angle, in degrees, at which you will get total internal reflection at this interface? Materials at 20°C for light with a vacuum wavelength of 589 nm.MaterialnnMaterialbenzene1.5012.419plexiglascarbon disulfide1.6281.434quartz (crystalline)carbon tetrachloride 1.461glass (crown) 1.52quartz (fused)ethanol1.361glass (flint)1.66sodium chlorideglycerine1.473ice (0°C)1.309zirconwater (fresh)1.333polystyrene1.49airMaterialdiamondfluoriten1.511.5441.4581.5441.9231.00029

Answered: Consider the internal reflection of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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11) Consider the internal reflection of light at the interface between water and ice. For convenience, the index of refraction for a variety of materials is provided below.

a) What is the minimum angle, in degrees, at which you will get total internal reflection at this interface?

Materials at 20°C for light with a vacuum wavelength of 589 nm.
Material
n
n
Material
benzene
1.501
2.419
plexiglas
carbon disulfide
1.628
1.434
quartz (crystalline)
carbon tetrachloride 1.461
glass (crown) 1.52
quartz (fused)
ethanol
1.361
glass (flint)
1.66
sodium chloride
glycerine
1.473
ice (0°C)
1.309
zircon
water (fresh)
1.333
polystyrene
1.49
air
Material
diamond
fluorite
n
1.51
1.544
1.458
1.544
1.923
1.00029

Expert Solution

Step 1

To calculate the minimum angle at which the total internal reflection will occur between water and ice.

Given:
Refractive index of water: $n_{w a t e r} = 1.333$
Refractive index of ice: $n_{i c e} = 1.309$

To calculate:
The minimum angle at which total internal reflection will occur: $θ$

Snell's law for refraction states that:
$n_{i} \sin (θ_{i}) = n_{r} \sin (θ_{r})$
where,
$n_{i}$ is the refractive index of the incident medium,
$θ_{i}$ is the angle of incidence,
$n_{r}$ is the refractive index of the refractive medium and
$θ_{r}$ is the angle of refraction.

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