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Chapter 25: Q5PE (page 929)

What is the speed of light in water? In glycerin?

Short Answer

Expert verified

The speed of light in the water is:VW=2.25×108m/s.

The speed of light in the glycerin is: vg=2.04×108m/s.

Step by step solution

01

Concept Introduction

Light slows down when it travels from air to water, causing it to alter direction somewhat. Refraction is the term for this shift in direction. Light 'bends' further towards the normal line when it penetrates a denser medium (higher refractive index).

02

Calculating the speed of light in water

The relationship n=cvmodifies the speed of light in materials by altering its coefficient of refraction. The coefficient of refraction of water is nw=1.333, while that of glycerin is ng=1.473, based on the values in the table 25.I. Accordingly,

vw=cnw=3.00×108m/s1.333=2.25×108m/svg=cng=3.00×108m/s1.473=2.04×108m/s

Therefore, the speed of light in the water and glycerin is:vw=2.25×108m/sandvg=2.04×108m/s.

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Most popular questions from this chapter

(a) What is the focal length of a magnifying glass that produces a magnification of \(3.00\) when held \(5.00{\rm{ }}cm\) from an object, such as a rare coin? (b) Calculate the power of the magnifier in diopters. (c) Discuss how this power compares to those for store-bought reading glasses (typically \(1.0\) to \(4.0\)). Is the magnifier’s power greater, and should it be?

(a) What is the ratio of the speed of red light to violet light in diamond, based on Table 25.2?

(b) What is this ratio in polystyrene?

(c) Which is more dispersive?

At what minimum angle will you get total internal reflection of light traveling in water and reflected from ice?

The most common type of mirage is an illusion that light from faraway objects is reflected by a pool of water that is not really there. Mirages are generally observed in deserts, when there is a hot layer of air near the ground. Given that the refractive index of air is lower for air at higher temperatures, explain how mirages can be formed.

What is the focal length of a makeup mirror that has a power of1.50D
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