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Chapter 5: Q24E (page 1106)

A beam of light strikes a sheet of glass at an angle of 57.0掳 with the normal in air. You observe that red light makes an angle of 38.1掳 with the normal in the glass, while violet light makes a 36.7掳 angle. (a) What are the indexes of refraction of this glass for these colors of light? (b) What are the speeds of red and violet light in the glass?

Short Answer

Expert verified

(a)The indexes of the glass are 1.36 for red and 1.403 for violet.

(b) The speed of red light in glass isand the speed of violet light in glass is

Step by step solution

01

Snell’s law

The part of the light that continues into the second medium is transmitted rather than reflected, but the transmitted Ray changes direction as it crosses the boundary. Refraction is the transmission of light from one medium to another with a change in direction. Snell's law describes the angles of incidence and refractive right.

Here;

02

Index of refraction

Index of refraction;

Here;

n is the index of refraction for an optical material

c is the speed of light

v is the speed of light in the material

Because light travels more slowly in the material than in a vacuum, the value of n in any medium other than vacuum is always greater than unity.

03

Indexes of refraction of the glass

(a) For red light;


For violet light;

Hence, the indexes of the glass are 1.36 for red and 1.403 for violet.

04

Speed of red and violet light in the glass

(b) For speed of red;

Taking


For speed of violet;

Taking

Hence, the speed of red light in glass isand the speed of violet light in glass is

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Most popular questions from this chapter

The two sourcesS1andS2shown in Fig. 35.3 emit waves of the same wavelength 位and are in phase with each other. Suppose S1is a weaker source, so that the waves emitted by S1have half the amplitude of the waves emitted by S2. How would this affect the positions of the antipodallines and nodal lines? Would there be total reinforcement at points on the antipodal curves? Would there be total cancellation at points on the nodal curves? Explain your answers.

Coherent light with wavelength 位falls on two narrow slits separated by a distance d. If dis less than some minimum value, no dark fringes are observed. Explain. In terms of 位, what is this minimum value of d?

Devise straightforward experiments to measure the speed of light in a given glass using (a) Snell鈥檚 law; (b) total internal reflection; (c) Brewster鈥檚 law

Contact Lenses. Contact lenses are placed right on the eyeball, so the distance from the eye to an object (or image) is the same as the distance from the lens to that object (or image). A certain person can see distant objects well, but his near point is 45.0 cm from his eyes instead of the usual 25.0 cm . (a) Is this person nearsighted or farsighted? (b) What type of lens (converging or diverging) is needed to correct his vision? (c) If the correcting lenses will be contact lenses, what focal length lens is needed and what is its power in diopters?

Ordinary Glasses: Ordinary glasses are worn in front of the eye and usually 2.0 cm in front of the eyeball. Suppose that the person in previous exercise prefers ordinary glasses to contact lenses. What focal length lenses are needed to correct his vision, and what is their power in diopters?
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