Question

As shown in $\textbf{Fig. E33.11}$, a layer of water covers a slab of material $X$ in a beaker. A ray of light traveling upward follows the path indicated. Using the information on the figure, find (a) the index of refraction of material $X$ and (b) the angle the light makes with the normal in the $air$.

Name: Problem 11, Chapter 33: University Physics with Modern Physics
Uploaded: 2019-08-06T12:17:05-08:00
Duration: 4 min 30 s
Channel: Salamat Ali
Description: As shown in Fig. E33.11, a layer of water covers a slab of material X in a beaker. A ray of light traveling upward follows the path indicated. Using the information on the figure, find (a) the index of refraction of material X and (b) the angle the light makes with the normal in the air.

   As shown in $\textbf{Fig. E33.11}$, a layer of water covers a slab of material $X$ in a beaker. A ray of light traveling upward follows the path indicated. Using the information on the figure, find (a) the index of refraction of material $X$ and (b) the angle the light makes with the normal in the $air$.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Chapter 33, Problem 11

Instant Answer

Solved by Expert Salamat Ali

08/06/2019

Step 1

We are asked to find the refractive index of material X. We can use Snell's law at the interface of material X and water to find this. Snell's law states that the product of the refractive index and the sine of the angle of incidence is equal to the product of the Show more…

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As shown in $\textbf{Fig. E33.11}$, a layer of water covers a slab of material $X$ in a beaker. A ray of light traveling upward follows the path indicated. Using the information on the figure, find (a) the index of refraction of material $X$ and (b) the angle the light makes with the normal in the $air$.

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Key Concepts

Index of Refraction

The index of refraction is a measure of how much the speed of light is reduced inside a medium compared to its speed in a vacuum. It is a key property in optics and determines the bending of light as it passes from one medium to another. Understanding the index of refraction helps in predicting and explaining phenomena such as refraction, dispersion, and the bending of light rays at interfaces.

Snell's Law

Snell's Law is the foundational principle used to relate the angles and indices of refraction when light passes between different media. It states that the product of the index of refraction and the sine of the angle of incidence in one medium is equal to the product of the index of refraction and the sine of the angle of refraction in the other medium. This law is crucial for solving problems involving refraction at interfaces, such as finding unknown indices of refraction or determining the angles of refracted rays.

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