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Exam 25: Wave Optics

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Question 41

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The Michelson interferometer can make precise length measurements using which of the following phenomena?

A) resolving power
B) magnification
C) force
D) interference

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

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Question 42

Multiple Choice

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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 20 dark bands are counted across the top plate, what is the paper thickness? (1 nm = 10 ^{- 9} m) Note that a dark band occurs where the plates contact.

A) 2.7 *10 ^{- 6} m
B) 3.4 * 10 ^{- 6} m
C) 4.7 *10 ^{- 6} m
D) 4.9*10 ^{- 6} m

E) A) and B)
F) B) and C)

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Question 43

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Two beams of coherent light are shining on the same piece of white paper. With respect to the crests and troughs of such waves, darkness will occur on the paper where:

If different filters are used with an astronomical telescope, which of the following would give the best resolution?

After light from a source passes through two slits, a m = 1 bright spot is seen on the wall at point P. Which distance is equal to the wavelength of the light?

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?

Which of the following colors is scattered most readily by small particles in the air?

Light is reflecting off a wedge-shaped thin piece of glass producing bright and dark interference fringes. If a certain location has a bright fringe, a nearby point will have a bright fringe if the thickness of the glass increases by:

In a Young's double-slit interference apparatus, by what factor is the distance between adjacent light and dark fringes changed when the wavelength of the source is doubled?

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 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?

In a Young's double-slit interference apparatus, by what factor is the distance between adjacent light and dark fringes changed when the separation between slits is tripled?

The Michelson interferometer is a device that may be used to measure:

A binary star system in the constellation Orion has an angular separation between the stars of 10^-5 radians. Assuming a wavelength of 700 nm, what is the smallest aperture (diameter) telescope that will just resolve the two stars? (1 nm = 10^-9 m)

A microscope has an objective lens with an aperture of diameter 0.60 cm where a monochromatic light source of wavelength 580 nm is used to illuminate the object. It is determined that the minimum angle of resolution is 1.18 *10 ^{- 4} rad. If the illuminating source were replaced by a source of wavelength 700 nm, what would the minimum angle of resolution now become? (1 nm = 10^-9 m)

A puddle of water (n = 1.33) is covered with a very thin layer of oil (n = 1.20) . How thick is the oil in the region that strongly reflects light with a wavelength of 497 nm?

Two closely spaced parallel glass plates are separated by 900 nm. What wavelength light source in the visible region (390 nm to 710 nm) will experience maximum transmission through the two plates?

A microscope has an objective lens with an aperture diameter 0.60 cm. A monochromatic light source of wavelength 580 nm is used to illuminate the object. It is determined that the minimum angle of resolution is 1.18 *10^-4 rad. If the present lens were replaced by one with an aperture of diameter 1.0 cm, what would the minimum angle of resolution now become? (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-half wavelength behind the wave from the other slit, what is observed at that point?

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?