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Exam 24: Wave Optics

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Question 21

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Two flat glass plates are in contact along one end and are separated by a sheet of paper 4.0 * 10^-6 m thick at the other end.The top plate is illuminated by a monochromatic light source of wavelength 490 nm.How many dark parallel bands will be evident across the top plate? (1 nm = 10^-9 m)

A) 7
B) 9
C) 13
D) 17

E) B) and D)
F) All of the above

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Question 22

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Laser light sent through a double slit produces an interference patter on a screen 3.00 m from the slits.If the second order maximum occurs at an angle of 12.0 $\degree$ , at what angle does the eighth order maximum occur?

A) No eighth order maximum occurs.
B) 48.0 $\degree$
C) 56.3 $\degree$
D) Not enough information is given.

E) C) and D)
F) B) and D)

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Question 23

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In the straight-ahead direction ( = 0 $\degree$ ) in Fraunhofer diffraction, which of the following is observed on the screen?

A diffraction grating has 4000 lines/cm.What is the slit separation?

Two flat glass plates are in contact along one end and are separated by a sheet of tissue paper at the other end.A monochromatic source of wavelength 490 nm illuminates the top plate.If 21 dark bands are counted across the top plate, what is the paper thickness? (1 nm = 10^-9 m)

Sunlight reflected from a smooth ice surface is completely polarized.Determine the angle of incidence.(n_ice = 1.309)

In a Young's double-slit experiment, both the wavelength and the slit separation are increased by 50%.What happens to the distance between two adjacent bright fringes?

What wavelength monochromatic source in the visible region (390 to 710 nm) can be used to constructively reflect off a soap film (n = 1.46) if the film is 77 nm thick?

Two thin layers of material with different indices of refraction are coated on a glass plate.The outer first material has n₁ = 1.404, the inner second material has n₂ = 1.531, and the glass has n_glass = 1.62.If light is incident from air on the first layer, what is the phase change for light that reflects from the glass?

Diffraction grating #1 has half the lines/cm that diffraction grating #2 does.When used with a certain wavelength of light, both gratings give first order maxima.Which of the following statements is true for the same wavelength of light.

In a Young's experiment, the paths from the slits to a point on the screen differ in length causing constructive interference at the point.Which of the following path difference would cause this constructive interference?

The center spot of Newton's rings is dark.This destructive interference occurs because:

If the 2nd order fringe in Young's double-slit experiment occurs at an angle of 45.0 $\degree$ , what is the relationship between the wavelength l and the distance between slits, d?

In a Young's double-slit experiment, what happens to the angular separation between the fringes when the wavelength is increased at the same time that the slit separation is decreased?

Light of wavelength 540 nm is incident on a slit of width 0.150 mm, and a diffraction pattern is produced on a screen that is 2.00 m from the slit.What is the width of the central bright fringe? (1 nm = 10^-9 m)

If a wave from one slit of a Young's double-slit set-up arrives at a point on the screen one wavelength behind the wave from the other slit, what is observed at that point?

A hair is placed at one edge between two flat glass plates.When this arrangement is illuminated with yellow light of wavelength (l = 600 nm) , a total of 121 dark bands are counted starting at the point of contact between the plates.How thick is the hair? (1 nm = 10^-9 m)

Polaroid sunglasses help when skiing on snow on a sunny day by reducing the sunlight from the snow.This light from the snow has been polarized by:

A Young's double-slit apparatus is set up where a screen is positioned 0.80 m from the double slits.If the distance between alternating bright fringes is 0.95 cm, and the light source has a wavelength of 580 nm, what is the separation of the double slits? (1 nm = 10^-9 m)

A beam of plane polarized light is incident on 3 polarizers, the first with an axis at 30 $\degree$ to the original plane of polarization, the second at 60 $\degree$ to the original plane of polarization, and the third at 90 $\degree$ to the original plane of polarization.What angle does the plane of polarization of the transmitted light make with the original plane of polarization of the original beam?