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Chapter 1: Problem 26

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

Short Answer

Expert verified
The speed of light in water is approximately \(225,407,860 \, m/s\), and in glycerine, it is approximately \(203,526,811 \, m/s\).

Step by step solution

01

Identify the constants

The speed of light in a vacuum, c = 299,792,458 m/s The refractive index of water, n_water = 1.33 The refractive index of glycerine, n_glycerine = 1.473
02

Calculate the speed of light in water

Using the formula mentioned above, we can find the speed of light in water: Speed of light in water = c / n_water So, replacing the constants with their values: Speed of light in water = 299,792,458 m/s / 1.33 Now, perform the division: Speed of light in water ≈ 225,407,860 m/s
03

Calculate the speed of light in glycerine

Similarly, we can calculate the speed of light in glycerine using the same formula: Speed of light in glycerine = c / n_glycerine Substitute the constants: Speed of light in glycerine = 299,792,458 m/s / 1.473 Perform the division: Speed of light in glycerine ≈ 203,526,811 m/s Now, we have found the speed of light in both water and glycerine.

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Most popular questions from this chapter

Explain why an object in water always appears to be at a depth shallower than it actually is?

Does the fact that the light flash from lightning reaches you before its sound prove that the speed of light is extremely large or simply that it is greater than the speed of sound? Discuss how you could use this effect to get an estimate of the speed of light.

If \(\theta_{b}\) is Brewster's angle for light reflected from the top of an interface between two substances, and \(\theta_{\mathrm{b}}^{\prime}\) is Brewster's angle for light reflected from below, prove that \(\theta_{\mathrm{b}}+\theta_{\mathrm{b}}^{\prime}=90.0^{\circ}\).

A light beam in air is incident on the surface of a pond, making an angle of \(20^{\circ}\) with respect to the surface. What are the angles of reflection and refraction?

Diffusion by reflection from a rough surface is described in this chapter. Light can also be diffused by refraction. Describe how this occurs in a specific situation, such as light interacting with crushed ice.
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