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It is found that during dispersion of white light by a glass prism, the more a colour component is bent, the more is the refractive index of the glass
Question

It is found that during dispersion of white light by a glass prism, the more a colour component is bent, the more is the refractive index of the glass for that colour component. If μ_B,μ_Y and μ_G are reflective indices for blue. yellow and green lights. respectively. then which of the following relations between them is correct?

A.

μY=μG=μB​μ_Y=μ_G=μ_B ​​

B.

μG>μB>μYμ_G>μ_B>μ_Y​​

C.

μB>μG>μYμ_B>μ_G>μ_Y​​

D.

μY>μG>μBμ_Y>μ_G>μ_B​​

Correct option is C

Correct Answer: CμB>μG>μYC μ_B > μ_G > μ_Y​​

Explanation:
The phenomenon of dispersion occurs when white light passes through a prism, splitting into its constituent colors. This happens because the refractive index (μ) of the prism material varies for different wavelengths of light.

  • Blue light has the shortest wavelength among the given colors (blue, green, and yellow). A shorter wavelength corresponds to higher refractive index, as the prism material bends it more.
  • Green light has a slightly longer wavelength than blue, so it is bent less, and its refractive index is lower than that for blue light.
  • Yellow light has the longest wavelength among the three, so it is bent the least, and its refractive index is the lowest.

Thus, the order of refractive indices for these colors is:

μB>μG>μYμB>μG>μY​​

This implies that blue light bends the most, green light bends moderately, and yellow light bends the least during dispersion.

Information Booster:

Dispersion: The splitting of white light into its constituent colors due to different refractive indices for different wavelengths.
Refractive Index: A material property that determines how much light bends when entering a medium.
Order of Bending in Visible Spectrum: Violet > Indigo > Blue > Green > Yellow > Orange > Red (VIBGYOR).
Snell's Law: Describes the relationship between the angles of incidence and refraction, governed by the refractive indices.
Applications: Dispersion is observed in rainbows, prisms, and spectrometers.

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