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Chapter 25: Q13PE (page 930)

Suppose you have an unknown clear substance immersed in water, and you wish to identify it by finding its index of refraction. You arrange to have a beam of light enter it at an angle of 45.0掳, and you observe the angle of refraction to be40.3掳. What is the index of refraction of the substance and its likely identity?

Short Answer

Expert verified

The value ofn=1.46 which depicts the unknown material mostly to be the fused quartz.

Step by step solution

01

Define Geometric Optics

Geometrical optics, often known as ray optics, is an optics model that describes light propagation using rays. In geometric optics, a ray is an abstraction that can be used to approximate the routes along which light propagates under particular conditions.

02

Evaluating the index of refraction and its identity

Using the Snell's law:

(nisin胃i=nfsin胃f)

It is used to identify the coefficient of refraction of the unknown substance, and then we use the table 25.1 to select the most effective substance among the mentioned materials.

nf=nisin胃isin胃f=1.33脳sin.45.0掳sin40.3掳=1.46

With the help of the table 25.1, the unknown material is most probably the fused quartz.

Therefore, the value of n=1.46 which is the unknown material, mostly fused quartz.

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Most popular questions from this chapter

(a) Using information in Figure \(25.23\), find the height of the instructor鈥檚 head above the water, noting that you will first have to calculate the angle of incidence. (b) Find the apparent depth of the diver鈥檚 head below water as seen by the instructor.

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.

Figure 25.54shows a ray of light passing from one medium into a second and then a third. Show that Q3is the same as it would be if the second medium were not present (provided total internal reflection does not occur).

Use the law of reflection to prove that the focal length of a mirror is half its radius of curvature. That is, prove that f=R/2.Note this is true for a spherical mirror only if its diameter is small compared with its radius of curvature.

An object \(1.50{\rm{ }}cm\)high is held \(3.00{\rm{ }}cm\)from a person鈥檚 cornea, and its reflected image is measured to be \(0.167{\rm{ }}cm\)high.

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(b) Where is the image?

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