Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 38, Problem 10PQ

Figure P38.10 on the next page shows a monochromatic beam of light of wavelength 575 nm incident on a slab of crown glass surrounded by air. Use a protractor to measure the angles of incidence and refraction. a. What is the speed of the beam of light within the glass slab? b. What is the frequency of the beam of light within the glass slab? c. What is the wavelength of the beam of light within the glass slab?

Chapter 38, Problem 10PQ, Figure P38.10 on the next page shows a monochromatic beam of light of wavelength 575 nm incident on

FIGURE P38.10

(a)

Expert Solution
Check Mark
To determine

The speed of the beam of light within the glass slab.

Answer to Problem 10PQ

The speed of the beam of light within the glass slab is 1.99×108m/sec.

Explanation of Solution

Write the expression given by Snell’s for the light ray travelling in two different medium.

    nairsinθi=nglasssinθt                                                                                    (I)

Here, nwater is the refractive index of liquid, nair is the refractive index of air medium, θt is the angle of refraction in glass and θi is the angle of incidence in air.

Write the expression to calculate the speed of light.

    nglass=cv                                                                                                   (II)

Here, nglass is the refractive index of the glass slab, v is the speed of light in the glass slab and c is the speed of light in vacuum.

Conclusion:

By the use of protractor the angle of incidence is measured as 65°.

Substitute 65° for θi, 1.0002926 for nair and 37° for θt in equation (I) to calculate the value of nglass.

    1.0002926sin65°=nglasssin37°nglass=1.0002926sin65°sin37°=1.5064

Substitute 1.5064 for nglass and 3×108m/sec for c in equation (II) to calculate the value of v.

    1.5064=3×108m/secvv=3×108m/sec1.5064=1.99×108m/sec

Therefore, the speed of the beam of light within the glass slab is 1.99×108m/sec.

(b)

Expert Solution
Check Mark
To determine

The frequency of the beam of light within the glass slab.

Answer to Problem 10PQ

The frequency of the beam of light within the glass slab is 5.21×1014Hz.

Explanation of Solution

Write the expression to calculate the frequency.

    f=vλglass                         (III)

Here, v is the velocity of light in the glass, f is the frequency in the glass slab and λglass is the wavelength of the light travelling in the glass slab.

Write the expression to calculate the wavelength of the light travelling in the glass medium.

    λglass=λairnglass                            (IV)

Here, λair is the wavelength of the light beam travelling in the air.

Conclusion:

Substitute 575nm for λair and 1.5064 for nglass in equation (IV) to calculate the value of λglass.

    λglass=(575nm×109m1nm)1.5064=3.817×107m3.82×107m

Substitute 3.817×107m for λglass and 1.99×108m/sec in equation (III) to calculate the value of f.

    f=1.99×108m/sec3.817×107m=5.21×1014Hz

Therefore, the frequency of the beam of light within the glass slab is 5.21×1014Hz.

(c)

Expert Solution
Check Mark
To determine

The wavelength of the beam of light within the glass slab.

Answer to Problem 10PQ

The wavelength of the beam of light within the glass slab is 3.82×107m.

Explanation of Solution

Conclusion:

Substitute 575nm for λair and 1.5064 for nglass in equation (IV) to calculate the value of λglass.

    λglass=(575nm×109m1nm)1.5064=3.82×107m

Therefore, The wavelength of the beam of light within the glass slab is 3.82×107m.

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Chapter 38 Solutions

Physics for Scientists and Engineers: Foundations and Connections

Ch. 38 - Prob. 3PQCh. 38 - A light ray is incident on an interface between...Ch. 38 - Prob. 5PQCh. 38 - Prob. 6PQCh. 38 - Prob. 7PQCh. 38 - A ray of light enters a liquid from air. If the...Ch. 38 - Prob. 9PQCh. 38 - Figure P38.10 on the next page shows a...Ch. 38 - Prob. 11PQCh. 38 - Prob. 12PQCh. 38 - Prob. 13PQCh. 38 - Prob. 14PQCh. 38 - Prob. 15PQCh. 38 - A fish is 3.25 m below the surface of still water...Ch. 38 - N A fish is 3.25 m below the surface of still...Ch. 38 - A beam of monochromatic light within a fiber optic...Ch. 38 - Prob. 19PQCh. 38 - Prob. 20PQCh. 38 - Consider a light ray that enters a pane of glass...Ch. 38 - Prob. 22PQCh. 38 - Prob. 23PQCh. 38 - Prob. 24PQCh. 38 - Prob. 25PQCh. 38 - Prob. 26PQCh. 38 - Prob. 27PQCh. 38 - Prob. 28PQCh. 38 - The wavelength of light changes when it passes...Ch. 38 - Prob. 30PQCh. 38 - Light is incident on a prism as shown in Figure...Ch. 38 - Prob. 32PQCh. 38 - Prob. 33PQCh. 38 - Prob. 34PQCh. 38 - Prob. 35PQCh. 38 - Prob. 36PQCh. 38 - Prob. 37PQCh. 38 - A Lucite slab (n = 1.485) 5.00 cm in thickness...Ch. 38 - Prob. 39PQCh. 38 - Prob. 40PQCh. 38 - The end of a solid glass rod of refractive index...Ch. 38 - Prob. 42PQCh. 38 - Figure P38.43 shows a concave meniscus lens. If...Ch. 38 - Show that the magnification of a thin lens is...Ch. 38 - Prob. 45PQCh. 38 - Prob. 46PQCh. 38 - Prob. 47PQCh. 38 - The radius of curvature of the left-hand face of a...Ch. 38 - Prob. 49PQCh. 38 - Prob. 50PQCh. 38 - Prob. 51PQCh. 38 - Prob. 52PQCh. 38 - Prob. 53PQCh. 38 - Prob. 54PQCh. 38 - Prob. 55PQCh. 38 - Prob. 56PQCh. 38 - Prob. 57PQCh. 38 - Prob. 58PQCh. 38 - Prob. 59PQCh. 38 - Prob. 60PQCh. 38 - Prob. 61PQCh. 38 - Prob. 62PQCh. 38 - Prob. 63PQCh. 38 - Prob. 64PQCh. 38 - Prob. 65PQCh. 38 - Prob. 66PQCh. 38 - Prob. 67PQCh. 38 - Prob. 68PQCh. 38 - CASE STUDY Susan wears corrective lenses. The...Ch. 38 - A Fill in the missing entries in Table P38.70....Ch. 38 - Prob. 71PQCh. 38 - Prob. 72PQCh. 38 - Prob. 73PQCh. 38 - Prob. 74PQCh. 38 - An object 2.50 cm tall is 15.0 cm in front of a...Ch. 38 - Figure P38.76 shows an object placed a distance...Ch. 38 - Prob. 77PQCh. 38 - Prob. 78PQCh. 38 - Prob. 79PQCh. 38 - CASE STUDY A group of students is given two...Ch. 38 - A group of students is given two converging...Ch. 38 - Prob. 82PQCh. 38 - Two lenses are placed along the x axis, with a...Ch. 38 - Prob. 84PQCh. 38 - Prob. 85PQCh. 38 - Prob. 86PQCh. 38 - Prob. 87PQCh. 38 - Prob. 88PQCh. 38 - Prob. 89PQCh. 38 - Prob. 90PQCh. 38 - Prob. 91PQCh. 38 - Prob. 92PQCh. 38 - Prob. 93PQCh. 38 - Prob. 94PQCh. 38 - Prob. 95PQCh. 38 - Prob. 96PQCh. 38 - Prob. 97PQCh. 38 - A Fermats principle of least time for refraction....Ch. 38 - Prob. 99PQCh. 38 - Prob. 100PQCh. 38 - Prob. 101PQCh. 38 - Prob. 102PQCh. 38 - Prob. 103PQCh. 38 - Prob. 104PQCh. 38 - Curved glassair interfaces like those observed in...Ch. 38 - Prob. 106PQCh. 38 - Prob. 107PQCh. 38 - Prob. 108PQCh. 38 - Prob. 109PQCh. 38 - Prob. 110PQCh. 38 - Prob. 111PQCh. 38 - Prob. 112PQCh. 38 - Prob. 113PQCh. 38 - Prob. 114PQCh. 38 - The magnification of an upright image that is 34.0...Ch. 38 - Prob. 116PQCh. 38 - Prob. 117PQCh. 38 - Prob. 118PQCh. 38 - Prob. 119PQCh. 38 - Prob. 120PQCh. 38 - Prob. 121PQCh. 38 - Prob. 122PQCh. 38 - Prob. 123PQCh. 38 - Prob. 124PQCh. 38 - Prob. 125PQCh. 38 - Prob. 126PQCh. 38 - Light enters a prism of crown glass and refracts...Ch. 38 - Prob. 128PQCh. 38 - An object is placed a distance of 10.0 cm to the...
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