In the dispersion of white light by a common glass prism, which one am

In the dispersion of white light by a common glass prism, which one among the following is correct ?

Red light deviates the most because red light has highest speed in prism
Blue light deviates the most because blue light has highest speed in prism
Red light deviates the most because red light has lowest speed in prism
Blue light deviates the most because blue light has lowest speed in prism
This question was previously asked in
UPSC NDA-1 – 2023
When white light passes through a prism, it disperses into its constituent colors (VIBGYOR) because the refractive index of the prism material is different for different wavelengths of light. This phenomenon is called dispersion. The amount of deviation experienced by a color depends on the refractive index for that color; greater refractive index leads to greater deviation. For most transparent materials like glass, the refractive index is higher for shorter wavelengths (blue, violet) and lower for longer wavelengths (red). Since the speed of light in a medium is given by v = c/n (where c is the speed of light in vacuum and n is the refractive index), a higher refractive index means a lower speed. Therefore, blue light (shorter wavelength, higher refractive index) deviates the most and has the lowest speed in the prism, while red light (longer wavelength, lower refractive index) deviates the least and has the highest speed.
– Dispersion occurs because the refractive index (n) of the medium depends on the wavelength (λ).
– In most transparent materials (normal dispersion), refractive index decreases as wavelength increases (n_violet > n_blue > … > n_red).
– Deviation (δ) in a prism depends on the refractive index (for a small angle prism, δ ≈ (n-1)A). Higher n means greater deviation.
– Speed of light in the medium (v) is inversely proportional to the refractive index (v = c/n). Higher n means lower speed.
– Thus, blue light has a higher refractive index, deviates the most, and has the lowest speed in the prism.
The order of colors in the dispersed spectrum is typically remembered by the acronym VIBGYOR (Violet, Indigo, Blue, Green, Yellow, Orange, Red). Violet light deviates the most, followed by Indigo, Blue, etc., with Red deviating the least.
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