EBK WEBASSIGN FOR KATZ'S PHYSICS FOR SC
EBK WEBASSIGN FOR KATZ'S PHYSICS FOR SC
1st Edition
ISBN: 9781337684651
Author: Katz
Publisher: VST
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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

EBK WEBASSIGN FOR KATZ'S PHYSICS FOR SC

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