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Chapter 18: Problem 31

A plane glass plate is kept on a paper on which letters are printed in various colours; colour of the letters which will be more close to upper surface is (A) yellow (B) red (C) blue (D) green

Short Answer

Expert verified
The color of the letters that will appear closer to the upper surface of the glass plate is blue, as it has the highest refractive index among the given color options (yellow, red, blue, and green). This is because the depth perception depends on the amount of bending of light rays, and colors with a higher refractive index experience more bending. Hence, the correct answer is (C) blue.

Step by step solution

01

Understand the phenomenon of dispersion

When white light passes through a transparent medium like glass, it gets dispersed into its constituent colors, which form a spectrum (Violet, Indigo, Blue, Green, Yellow, Orange, and Red). This phenomenon occurs because each color of light has a slightly different speed inside the medium, resulting in a different angle of refraction for each color.
02

Understand the concept of refractive index

The refractive index of a medium is an expression of how much a medium slows down light when it passes through it. Different colors of light have different refractive indices in the same medium. In general, the refractive index decreases with increasing wavelength (color order: Violet > Indigo > Blue > Green > Yellow > Orange > Red).
03

Relate refractive index with the color depth

When light passes through a glass plate, colors with a higher refractive index will slow down more than those with a lower refractive index. As a result, these colors will bend more, and their path will be shorter inside the glass medium. Since the depth perception depends on the amount of bending of light rays, colors with a higher refractive index will appear closer to the upper surface as they experience more bending.
04

Find the color with the highest refractive index

Considering the order of refractive indices mentioned in step 2, violet light has the highest refractive index, followed by indigo, blue, green, yellow, orange, and red. However, the problem gives us four color options: yellow, red, blue, and green.
05

Determine the color that will appear closer to the upper surface

Among the given color options, blue light has the highest refractive index compared to the other three colors. Therefore, the color of the letters that will appear closer to the upper surface of the glass plate is blue. Hence, the correct answer is (C) blue.

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Most popular questions from this chapter

In an interference arrangement, similar to Young's double slit experiment, the slits \(S_{1}\) and \(S_{2}\) are illuminated with coherent microwave sources, each of frequency \(10^{6} \mathrm{~Hz}\). The sources are synchronized to have zero phase difference. The slits are separated by distance \(d=150.0 \mathrm{~m}\). The intensity \(I_{(\theta)}\) is measured as a function of \(\theta\), where \(\theta\) is defined as shown in the Fig. 18.53. If \(I_{0}\) is maximum intensity, then \(I_{(\theta)}\) for \(0 \leq \theta \leq 90\) is given by (A) \(I_{(\theta)}=I_{0}\) for \(\theta=0^{\circ}\) (B) \(I_{(\theta)}=\left(I_{0} / 2\right)\) for \(\theta=30^{\circ}\) (C) \(I_{(\theta)}=\left(I_{0} / 4\right)\) for \(\theta=90^{\circ}\) (D) \(I_{(\theta)}\) is constant for all values of \(\theta\)

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