Question 1

Two flat glass plates are in contact along one end and are separated by a sheet of paper 3.0 × 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)Note that a dark band occurs where the plates contact.

Accepted Answer

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

Question 2

When using 529-nm light,how far is the adjustable mirror of a Michelson interferometer moved when 600 fringe shifts are counted? A fringe shift occurs when the intensity goes from bright to dark or when it goes from dark to bright.

Accepted Answer

A)   1.58 × 10-4 m
B)   7.94 × 10-5 m
C)   9.90 × 10-6 m
D)   3.97 × 10-5 m B

Question 3

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)

Accepted Answer

A)   0.58 × 10−4 rad
B)   1.4 × 10−4 rad
C)   0.85 × 10−4 rad
D)   1.2 × 10−4 rad B

Question 4

Light with a wavelength of 450 nm shines through a lens with an aperture diameter of 0.85 cm.Use Rayleigh's criterion to determine the limiting angle of resolution.(1 nm = 10−9 m)

Accepted Answer

A)   6.5 × 10−5 rad
B)   1.3 × 10−4 rad
C)   9.2 × 10−5 rad
D)   3.0 × 10−9 rad

Question 5

A telescope is used to view two small lights separated by 2.0 cm at a distance of 500 m.What minimum objective lens diameter is needed to just resolve these objects if their wavelength is 656 nm?

Accepted Answer

A)   2.0 cm
B)   1.0 cm
C)   1.2 cm
D)   2.4 cm

Question 6

When light passes from a material with a low index of refraction into material with a high index of refraction:

Accepted Answer

A)   some light is reflected with a 180° change of phase.
B)   none of the light is reflected.
C)   some light is reflected without a change of phase.
D)   the light that is not reflected has a 180° change of phase.

Question 7

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?

Accepted Answer

A)   945 nm
B)   651 nm
C)   420 nm
D)   431 nm

Question 8

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?

Accepted Answer

A)   A 180o phase change occurs at the inside surface but not at the outside surface.
B)   A 180o phase change occurs at the outside surface but not at the inside surface.
C)   A 180o phase change occurs at both the inside surface and the outside surface.
D)   No phase change occurs at either the inside surface or the outside surface of the glass.

Question 9

Find the radius of a star image formed on the retina of the eye if the aperture diameter (the pupil)at night is 0.70 cm and the length of the eye is 3.0 cm.Assume the wavelength of starlight in the eye is 600 nm.(1 nm = 10−9 m)

Accepted Answer

A)   5.2 × 10−4 m
B)   3.1 × 10−6 m
C)   2.6 × 10−6 m
D)   2.6 × 10−4 m

Question 10

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?

Accepted Answer

A)   10
B)   2.5
C)   5
D)   Some other value than those given since this is for destructive interference.

Question 11

A thin film ( 
)of thickness 77.6 nm,applied to a camera lens ( 
),is the minimum thickness that results in destructive interference for reflected light of wavelength 450 nm.which of the following is the next greater thickness that will also give destructive interference for this wavelength?

Accepted Answer

A)   120 nm
B)   155 nm
C)   116 nm
D)   233 nm

Question 12

A silicon monoxide (n = 1.45)film of 108 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)

Accepted Answer

A)   580 nm
B)   400 nm
C)   492 nm
D)   626 nm

Question 13

A beam of light of wavelength 600 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−9 m)

Accepted Answer

A)   75 nm
B)   300 nm
C)   410 nm
D)   150 nm

Question 14

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?

Accepted Answer

A)   207 nm
B)   550 nm
C)   458 nm
D)   229 nm

Question 15

What is the highest order (m value)maximum for wavelength 450 nm that can be obtained with a grating with 300 lines per mm?

Accepted Answer

A)   8
B)   3
C)   7
D)   4

Question 16

At what angle will the second order (m = 2)maximum occur for a wavelength of 450 nm using a diffraction grating with 10,000 lines per cm?

Accepted Answer

A)   64°
B)   27°
C)   53°
D)   No second order maximum will occur in this case.

Question 17

Two narrow slits are 0.025 mm apart.When a laser shines on them,bright fringes form on a screen that is a meter away.These fringes are 1.3 cm apart.What is the separation between the m = 2 bright fringe and the central fringe?

Accepted Answer

A)   2.6 cm
B)   5.3 cm
C)   8.6 cm
D)   6.0 cm

Question 18

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.

Accepted Answer

A)   2.7 × 10−6 m
B)   3.4 × 10−6 m
C)   4.7 × 10−6 m
D)   4.9 × 10−6 m

Question 19

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 0.83 cm,and the light source has a wavelength of 580 nm,what is the separation of the double slits? (1 nm = 10−9 m)

Accepted Answer

A)   6.0 × 10−5 m
B)   2.8 × 10−5 m
C)   4.9 × 10−5 m
D)   5.6 × 10−5 m

Question 20

In a Young's double-slit experiment,how many maxima occur between the m = +3 and m = −3 maxima?

Accepted Answer

A)   6
B)   8
C)   7
D)   Not given.

Exam 25: Optical Instruments: Part A

When using 529-nm light,how far is the adjustable mirror of a Michelson interferometer moved when 600 fringe shifts are counted? A fringe shift occurs when the intensity goes from bright to dark or when it goes from dark to bright.

Light with a wavelength of 450 nm shines through a lens with an aperture diameter of 0.85 cm.Use Rayleigh's criterion to determine the limiting angle of resolution.(1 nm = 10−⁹ m)

A telescope is used to view two small lights separated by 2.0 cm at a distance of 500 m.What minimum objective lens diameter is needed to just resolve these objects if their wavelength is 656 nm?

When light passes from a material with a low index of refraction into material with a high index of refraction:

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?

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?

Find the radius of a star image formed on the retina of the eye if the aperture diameter (the pupil) at night is 0.70 cm and the length of the eye is 3.0 cm.Assume the wavelength of starlight in the eye is 600 nm.(1 nm = 10−⁹ m)

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 thin film ( ) of thickness 77.6 nm,applied to a camera lens ( ) ,is the minimum thickness that results in destructive interference for reflected light of wavelength 450 nm.which of the following is the next greater thickness that will also give destructive interference for this wavelength?

A silicon monoxide (n = 1.45) film of 108 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)

A beam of light of wavelength 600 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (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?

What is the highest order (m value) maximum for wavelength 450 nm that can be obtained with a grating with 300 lines per mm?

At what angle will the second order (m = 2) maximum occur for a wavelength of 450 nm using a diffraction grating with 10,000 lines per cm?

Two narrow slits are 0.025 mm apart.When a laser shines on them,bright fringes form on a screen that is a meter away.These fringes are 1.3 cm apart.What is the separation between the m = 2 bright fringe and the central fringe?

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 0.83 cm,and the light source has a wavelength of 580 nm,what is the separation of the double slits? (1 nm = 10−⁹ m)

In a Young's double-slit experiment,how many maxima occur between the m = +3 and m = −3 maxima?

Exam 25: Optical Instruments: Part A

When using 529-nm light,how far is the adjustable mirror of a Michelson interferometer moved when 600 fringe shifts are counted? A fringe shift occurs when the intensity goes from bright to dark or when it goes from dark to bright.

Light with a wavelength of 450 nm shines through a lens with an aperture diameter of 0.85 cm.Use Rayleigh's criterion to determine the limiting angle of resolution.(1 nm = 10−9 m)

A telescope is used to view two small lights separated by 2.0 cm at a distance of 500 m.What minimum objective lens diameter is needed to just resolve these objects if their wavelength is 656 nm?

When light passes from a material with a low index of refraction into material with a high index of refraction:

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?

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?

Find the radius of a star image formed on the retina of the eye if the aperture diameter (the pupil) at night is 0.70 cm and the length of the eye is 3.0 cm.Assume the wavelength of starlight in the eye is 600 nm.(1 nm = 10−9 m)

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 thin film ( ) of thickness 77.6 nm,applied to a camera lens ( ) ,is the minimum thickness that results in destructive interference for reflected light of wavelength 450 nm.which of the following is the next greater thickness that will also give destructive interference for this wavelength?

A silicon monoxide (n = 1.45) film of 108 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)

A beam of light of wavelength 600 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (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?

What is the highest order (m value) maximum for wavelength 450 nm that can be obtained with a grating with 300 lines per mm?

At what angle will the second order (m = 2) maximum occur for a wavelength of 450 nm using a diffraction grating with 10,000 lines per cm?

Two narrow slits are 0.025 mm apart.When a laser shines on them,bright fringes form on a screen that is a meter away.These fringes are 1.3 cm apart.What is the separation between the m = 2 bright fringe and the central fringe?

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 0.83 cm,and the light source has a wavelength of 580 nm,what is the separation of the double slits? (1 nm = 10−9 m)

In a Young's double-slit experiment,how many maxima occur between the m = +3 and m = −3 maxima?

Light with a wavelength of 450 nm shines through a lens with an aperture diameter of 0.85 cm.Use Rayleigh's criterion to determine the limiting angle of resolution.(1 nm = 10−⁹ m)

Find the radius of a star image formed on the retina of the eye if the aperture diameter (the pupil) at night is 0.70 cm and the length of the eye is 3.0 cm.Assume the wavelength of starlight in the eye is 600 nm.(1 nm = 10−⁹ m)

A silicon monoxide (n = 1.45) film of 108 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)

A beam of light of wavelength 600 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)

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 0.83 cm,and the light source has a wavelength of 580 nm,what is the separation of the double slits? (1 nm = 10−⁹ m)