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Exam 25: Wave Optics

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Question 31

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A diffraction grating has 2500 lines/cm. What is the slit separation?

A) 4.0 $\mu$ m
B) 250 nm
C) 400 nm
D) 2.5 $\mu$ m

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Question 32

Multiple Choice

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Upon reflection, light undergoes no phase change:

A) if the incident medium has the lower index of refraction.
B) if the incident medium has the higher index of refraction.
C) always.
D) whenever the incident angle is less than the critical angle.

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Question 33

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A hair is placed at one edge between two flat glass plates. When this arrangement is illuminated with yellow light of wavelength ( $\lambda$ = 600 nm) , a total of 61 dark bands are counted starting at the point of contact between the plates. How thick is the hair? (1 nm = 10 ^{- 9} m) Note that a dark band occurs where the plates contact.

What is the minimum thickness of a glycerin film (n = 1.47) on which light of wavelength 450 nm shines that results in constructive interference of the reflected light? Assume the film is surrounded front and back by air.

The 2.4-m diameter Hubble space telescope has been placed into Earth orbit by the space shuttle. Assuming a wavelength of 710 nm, what angular resolution could this telescope achieve by Rayleigh's criterion? (1 nm = 10^-9 m)

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

Laser light sent through a double slit produces an interference pattern on a screen 3.00 m from the slits. If the m = 2 maximum occurs at an angle of 10.7°, at what angle does the m = 8 maximum occur?

In a single-slit diffraction experiment, the angular width of the central maximum is 0.16°. The width of the slit is then doubled as is the distance to the screen. What is the resulting angular width of the central maximum?

The blue tint of a coated camera lens is largely caused by what effects?

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

A Young's double slit has a slit separation of 2.50 *10 ^{- 5} m on which a monochromatic light beam is directed. The resultant bright fringes on a screen 1.00 m from the double slit are separated by 2.30 *10 sup>- ² m. What is the wavelength of this beam? (1 nm = 10 ^{- 9} m)

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 = 1.176, and the glass has n_glass = 1.62. If light is incident from air on the first layer, what is the phase change relative to that of the first layer reflection for light that reflects from the glass?

That light can undergo interference is evidence that it:

In a Young's double-slit experiment, by how many wavelengths do the paths from the slits to the screen differ for the m = 3 and the m = 8 minima?

A laser shines 630-nm light through a grating producing a first order (m = 1) maximum at an angle of 30°. A second laser produces a first order maximum with the same grating at 20°. What is the wavelength emitted by the second laser?

Helium-neon laser light ( $\lambda$ = 632.8 nm) is sent through a single slit of width 0.41 mm. What is the width of the central maximum on a screen 1.0 m in back of the slit? (1 nm = 10 ^{- 9} m)

A soap bubble (n = 1.35) is floating in air. If the thickness of the bubble wall is 322 nm, which of the following wavelengths of visible light is strongly reflected?

If the m = 2 fringe in Young's double-slit experiment occurs at an angle of 45.0°, what is the relationship between the wavelength $\lambda$ and the distance between slits, d?

In a single-slit diffraction experiment, the width of the central maximum is 6.0 mm. The width of the slit is then doubled as is the distance to the screen. What is the resulting width of the central maximum?

Light travels from inside a building to outside through a pane of glass. Which of the following is true regarding the phase change upon reflection in the case?