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The indices of refraction for red, green, and violet light in glass are nred =1.520, ngreen = 1.526, and nviolet = 1.538. When a ray of light passes through a transparent slab of glass, the emergent ray is parallel to the incident ray, but can be displaced relative to it. For light passing through a glass slab that is surrounded by air, which color is displaced the most?
(a) All colors are displaced equally.
(b) Red
(c) Green
(d) Violet

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Answer:

(d) Violet

Explanation:

The formula for lateral displacement = t sin ( i - r ) / cos r

where t is thickness of slab , i is angle of incidence , r is angle of refraction

refractive index = sin i / sin r

if refractive index is high , for given i , angle of r will be less

i - r will be more , hence sin( i - r ) will be more

cos r will be less ( larger the angle , lesser will be its cos value )

sin( i - r ) / cos r will be more

lateral displacement will be more .

hence higher refractive index results into greater displacement .

So violet ray will undergo maximum displacement .

Cricetus

The color which is displaced the most will be "Violet".

Refractive index

According to the question,

Indices of refraction,

Red, [tex]n_{red}[/tex] = 1.520

Green, [tex]n_{green}[/tex] = 1.526

Violet, [tex]n_{violet}[/tex] = 1.538

The higher the refractive index of something like a wavelength, the generally greater the departure from the glass's surfaces or ground. The emerging ray always seems to be perpendicular towards the incident light.

You now understand something the greater more deviation somewhere at this same surface of the object, the greater the laterally or sideways displacement.

Thus the response above i.e., "Option d" is correct.

Find out more information about refractive index here:

https://brainly.com/question/83184

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