Exam 25: Optical Instruments: Part A

A silicon monoxide (n = 1.45)film of 330 nm thickness is used to coat a glass camera lens (n = 1.56).What wavelength of light in the visible region (390 to 710 nm)will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

In a Young's double-slit experiment,both the wavelength and the slit separation are increased by 25%.What happens to the distance between two adjacent bright fringes?

A silicon monoxide thin film (n = 1.45)of thickness 77.6 nm is applied to a camera lens made of glass (n = 1.55).This will result in a destructive interference for reflected light of what wavelength?

A surface is coated with a material having index of refraction 1.50.If light in air has a wavelength of 450 nm and is normally incident on this surface,and it is found through interference effects with this light that the surface is 15 wavelengths thick,which of the following is the thickness of the surface?

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.

How far,in wavelengths,does the movable mirror travel in a Michelson interferometer travel going from intensity maximum to the next intensity maximum?

A Young's double-slit apparatus is set up.A screen is positioned 1.16 m from the double slits,and the spacing between the two slits is 0.0500 mm.The distance between alternating bright fringes is 1.42 cm.What is the light source wavelength? (1 nm = 10−⁹ m)

Light of wavelength 610 nm is incident on a slit of width 0.20 mm,and a diffraction pattern is produced on a screen that is 2.0 m from the slit.What is the distance of the second dark fringe from the center of the central bright fringe? (1 nm = 10−⁹ m)

Helium-neon laser light (λ = 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 diffraction grating with 10,000 lines/cm will exhibit the first order (m = 1)maximum for light of wavelength 264 nm at what angle? (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?

A Young's double-slit apparatus is set up.The source wavelength is 430 nm,and the double-slit spacing is 0.040 mm.At what distance from the double slits should the screen be placed if the spacing between alternating bright fringes is to be 2.6 cm? (1 nm = 10−⁹ m)

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?

Light of wavelength 500 nm shines on a soap bubble film (n = 1.46).For what soap film thickness,other than the minimum thickness,will constructive interference occur?

A Young's interference experiment is conducted with blue-green argon laser light (λ = 515 nm).The separation between the slits is 0.50 mm,and the interference pattern appears on a screen 4.95 m away.What is the spacing between the bright fringes? (1 nm = 10−⁹ m)

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

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 3.00 m from the slit.What is the width of the central bright fringe? (1 nm = 10−⁹ m)

A possible means for making an airplane radar-invisible is to coat the plane with an antireflective polymer.If radar waves have a wavelength of 3.84 cm,and the index of refraction of the polymer is n = 1.6,how thick would the coating be if a 180° phase change occurs at both surfaces?

At what angle will the highest order (m value)maximum appear for a wavelength 400 nm using a grating with 600 lines per mm?

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?