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When white light is dispersed by a glass prism into seven colours, out of the following colours which colour will be deviated the least?
Indigo
Yellow
Blue
Green
Yellow
When white light passes through a glass prism, it undergoes dispersion into its constituent seven colours (VIBGYOR). Red light has the longest wavelength and minimum refractive index in glass, which causes it to deviate (bend) the least among all visible colours.
When white light passes through a glass prism, it undergoes dispersion into its constituent seven colours (VIBGYOR). Red light has the longest wavelength and minimum refractive index in glass, which causes it to deviate (bend) the least among all visible colours.
Think of marching band members walking at different speeds through mud: those taking longer strides (like long-wavelength red light) face less resistance and steer less off course compared to short-striding members.
Remember 'VIBGYOR' from bottom to top on the screen: Violet is at the bottom (most deviated), Red is at the top (least deviated).
╬┤=(╬╝тИТ1)A тАФ Deviation angle for a thin prism
╬╝(╬╗)=A+╬╗2BтАЛ тАФ Cauchy's dispersion formula relating refractive index and wavelength
According to Cauchy's dispersion formula, the refractive index (╬╝) of a medium decreases with an increase in wavelength (╬╗). Since red light has the maximum wavelength in the visible spectrum (╬╗redтАЛтЙИ700┬аnm), its refractive index in glass is the lowest. By Snell's Law, deviation (╬┤=iтИТr) is directly related to refractive index; hence, minimum refractive index results in minimum deviation for red light.
Dispersion is the splitting of white light into its component seven colours.
Order of deviation from least to most: Red < Orange < Yellow < Green < Blue < Indigo < Violet.
Order of wavelength from least to most: Violet < Indigo < Blue < Green < Yellow < Orange < Red.
Refractive index of glass is highest for violet light and lowest for red light.
Explains natural atmospheric phenomena like rainbows.
Provides fundamental insight into the wave nature of light.
Spectroscopy and spectrum analysis
Prism binoculars and optical instruments
Formation of rainbows in the atmosphere
Option A (Indigo), Option C (Blue), and Option D (Green) all have shorter wavelengths than red and therefore experience greater deviation through a glass prism.
Option B is correct тАФ Yellow is one of the intermediate colours, but among standard curriculum choices, Red undergoes the least deviation (note: options here show other colours from the choices; the question asks for least deviated among given options or standard context. Wait, let's look at the options: A) Indigo, B) Yellow, C) Blue, D) Green. Among Indigo, Yellow, Blue, and Green, Yellow has the highest wavelength and thus the least deviation among the four given options).
Remember that deviation (╬┤) is inversely proportional to wavelength (╬╗). Whenever an exam asks about least deviation, always pick the colour with the longest wavelength available in the options (Red > Yellow > Green > Blue > Violet).