Question 1

Two coherent sources of monochromatic light are located at S1 and S2 as shown. If the sources are in phase, the intensity at point P is a maximum when

Accepted Answer

A)  d =$\lambda$ 
B)  r2 + r1 = $\lambda$ 
C)  r2 - r1 = $\lambda$ 
D)  r2 + r1 = $\lambda$/2 
E)  r2 - r1 = $\lambda$/2 
A)  d =$\lambda$ 
B)  r2 + r1 = $\lambda$ 
C)  r2 - r1 = $\lambda$ 
D)  r2 + r1 = $\lambda$/2 
E)  r2 - r1 = $\lambda$/2

Question 2

The angle at which a telescope must be set to locate the second-order image of light of wavelength 589.3 nm is approximately

Accepted Answer

A)  18º 
B)  45º 
C)  75º 
D)  85º 
E)  37º 
A)  18º 
B)  45º 
C)  75º 
D)  85º 
E)  37º

Question 3

When a first-order spectrum is examined by means of a one-inch grating having 10,000 lines/inch, the resolving power is R. When a second-order spectrum is examined by means of a two-inch grating having 20,000 lines/inch, the resolving power is

Accepted Answer

A)  R/4 
B)  R/2 
C)  2R 
D)  4R 
E)  8R 
A)  R/4 
B)  R/2 
C)  2R 
D)  4R 
E)  8R

Question 4

Two slits of width a = 0.0016 mm are separated by a distance d = 0.04 mm and illuminated by light of wavelength $\lambda$= 450 nm. The number of bright fringes seen in the central maximum is

Accepted Answer

A)  8 
B)  16 
C)  25 
D)  37 
E)  49 
A)  8 
B)  16 
C)  25 
D)  37 
E)  49

Question 5

Light of wave length$\lambda$is incident on two thin films that are in contact and surrounded by air. The top layer is $\lambda$/4 thick and has an index of refraction of 1.33. The bottom layer is $\lambda$/2 thick and has an index of refraction of 1.50. At normal incidence, the reflected rays that are in phase with each other are

Accepted Answer

A)  1 and 2 
B)  1 and 3 
C)  2 and 3 
D)  1, 2, and 3 
E)  None of these is correct. 
A)  1 and 2 
B)  1 and 3 
C)  2 and 3 
D)  1, 2, and 3 
E)  None of these is correct.

Question 6

The different colors seen on a soap bubble are produced by

Accepted Answer

A)  the dispersion of light by the water in the soap. 
B)  the interference of light reflected from the front and back of the soap film. 
C)  the different angles light strikes the surface of the soap film. 
D)  total internal reflection of light in the soap film. 
E)  None of the statements is correct. 
A)  the dispersion of light by the water in the soap. 
B)  the interference of light reflected from the front and back of the soap film. 
C)  the different angles light strikes the surface of the soap film. 
D)  total internal reflection of light in the soap film. 
E)  None of the statements is correct.

Question 7

You illuminate a slit 0.20 mm wide with monochromatic light of wavelength 600 nm, and focus the Fraunhofer diffraction pattern on a screen with a lens of focal length
1)50 m. The distance on the screen from the center of the central maximum to the first minimum is

Accepted Answer

A)  0.675 cm 
B)  0.600 cm 
C)  0.300 cm 
D)  0.450 cm 
E)  0.225 cm 
A)  0.675 cm 
B)  0.600 cm 
C)  0.300 cm 
D)  0.450 cm 
E)  0.225 cm

Question 8

In dealing with the diffraction pattern of a single slit, we are usually interested in the location of the first minimum in light intensity because

Accepted Answer

A)  it is the only one that can be determined accurately. 
B)  it is the only one for which the small-angle approximation holds. 
C)  nearly all the light energy is contained in the central maximum. 
D)  it is the only one for which the location is directly proportional to the wavelength of the light. 
E)  it is the only one that can be described by Fraunhofer diffraction. 
A)  it is the only one that can be determined accurately. 
B)  it is the only one for which the small-angle approximation holds. 
C)  nearly all the light energy is contained in the central maximum. 
D)  it is the only one for which the location is directly proportional to the wavelength of the light. 
E)  it is the only one that can be described by Fraunhofer diffraction.

Question 9

An easy way to distinguish whether the fringe pattern is the result of a single slit or from a double slit is

Accepted Answer

A)  the intensity for each fringe is much stronger for a single slit than a double slit. 
B)  the intensity for each fringe is much stronger for a double slit than a single slit. 
C)  the width central maximum from a single slit is twice as width as the other wide whereas the widths of the fringes from a double slit are about the same width. 
D)  that there are many more fringes from a single slit than a double slit. 
E)  that there are many more fringes from a double slit than a single slit. 
A)  the intensity for each fringe is much stronger for a single slit than a double slit. 
B)  the intensity for each fringe is much stronger for a double slit than a single slit. 
C)  the width central maximum from a single slit is twice as width as the other wide whereas the widths of the fringes from a double slit are about the same width. 
D)  that there are many more fringes from a single slit than a double slit. 
E)  that there are many more fringes from a double slit than a single slit.

Question 10

The minimum path difference that will produce a phase difference of 180º for light of wavelength 600 nm is

Accepted Answer

A)  600 nm 
B)  500 nm 
C)  300 nm 
D)  200 nm 
E)  100 nm 
A)  600 nm 
B)  500 nm 
C)  300 nm 
D)  200 nm 
E)  100 nm

Question 11

The pattern of light and dark fringes formed in Young's double-slit experiment is due to

Accepted Answer

A)  interference and dispersion. 
B)  diffraction and refraction. 
C)  refraction and interference. 
D)  refraction and dispersion. 
E)  interference and diffraction. 
A)  interference and dispersion. 
B)  diffraction and refraction. 
C)  refraction and interference. 
D)  refraction and dispersion. 
E)  interference and diffraction.

Question 12

The interference pattern is from a lens placed on a flat reflecting surface illuminate using a monochromatic light from above. From the pattern one can conclude that the lens

Accepted Answer

A)  is more curved on the left and right sides compared to top and bottom. 
B)  is more curved on the top and bottom compared to the left and right sides. 
C)  has a spherical surface. 
D)  has a concave surface. 
E)  none of the above 
A)  is more curved on the left and right sides compared to top and bottom. 
B)  is more curved on the top and bottom compared to the left and right sides. 
C)  has a spherical surface. 
D)  has a concave surface. 
E)  none of the above

Question 13

A student looks through a transmission grating at the light from a helium light source. He sees the red, yellow, and green light from the source superimposed on a meterstick. If the yellow lines are the ones indicated in the figure, then

Accepted Answer

A)  1 and 2 are green; 3 and 4 are red. 
B)  1 and 4 are red; 2 and 3 are green. 
C)  1 and 4 are green; 2 and 3 are red. 
D)  1 and 3 are red; 2 and 4 are green. 
E)  1 and 3 are green; 2 and 4 are red. 
A)  1 and 2 are green; 3 and 4 are red. 
B)  1 and 4 are red; 2 and 3 are green. 
C)  1 and 4 are green; 2 and 3 are red. 
D)  1 and 3 are red; 2 and 4 are green. 
E)  1 and 3 are green; 2 and 4 are red.

Question 14

The white circles in the figure represent minima of the diffraction pattern formed when a bright point-source object is viewed through a small circular opening. In accordance with Rayleigh's criterion, the closest central maximum of another point source that could lie in this pattern and still be barely resolvable

Accepted Answer

A)  would be at point A. 
B)  would be at point B. 
C)  would be at point C. 
D)  would be at point D. 
E)  must lie outside all discernible diffraction rings. 
A)  would be at point A. 
B)  would be at point B. 
C)  would be at point C. 
D)  would be at point D. 
E)  must lie outside all discernible diffraction rings.

Question 15

Light of wavelength 450 nm is incident on a narrow slit. The diffraction pattern is observed on a screen 5.0 m from the slit, and the central maximum is observed to have a width of 22 cm. What is the width of the slit?

Accepted Answer

A)  4.5 µm 
B)  5.0 µm 
C)  10 µm 
D)  20 µm 
E)  0.20 µm 
A)  4.5 µm 
B)  5.0 µm 
C)  10 µm 
D)  20 µm 
E)  0.20 µm

Question 16

The headlights of an oncoming car are 1.2 m apart. What is the maximum distance from the car at which you can resolve the lights as two sources if the diameter of the pupil of your eye is 5.0 mm and the wavelength of the light is 555 nm?

Accepted Answer

A)  8.9 km 
B)  22 km 
C)  4.4 km 
D)  5.4 km 
E)  13 km 
A)  8.9 km 
B)  22 km 
C)  4.4 km 
D)  5.4 km 
E)  13 km

Two coherent sources of monochromatic light are located at S₁ and S₂ as shown. If the sources are in phase, the intensity at point P is a maximum when

The angle at which a telescope must be set to locate the second-order image of light of wavelength 589.3 nm is approximately

When a first-order spectrum is examined by means of a one-inch grating having 10,000 lines/inch, the resolving power is R. When a second-order spectrum is examined by means of a two-inch grating having 20,000 lines/inch, the resolving power is

Two slits of width a = 0.0016 mm are separated by a distance d = 0.04 mm and illuminated by light of wavelength $\lambda$ = 450 nm. The number of bright fringes seen in the central maximum is

The different colors seen on a soap bubble are produced by

You illuminate a slit 0.20 mm wide with monochromatic light of wavelength 600 nm, and focus the Fraunhofer diffraction pattern on a screen with a lens of focal length 1)50 m. The distance on the screen from the center of the central maximum to the first minimum is

In dealing with the diffraction pattern of a single slit, we are usually interested in the location of the first minimum in light intensity because

An easy way to distinguish whether the fringe pattern is the result of a single slit or from a double slit is

The minimum path difference that will produce a phase difference of 180º for light of wavelength 600 nm is

The pattern of light and dark fringes formed in Young's double-slit experiment is due to

The interference pattern is from a lens placed on a flat reflecting surface illuminate using a monochromatic light from above. From the pattern one can conclude that the lens

A student looks through a transmission grating at the light from a helium light source. He sees the red, yellow, and green light from the source superimposed on a meterstick. If the yellow lines are the ones indicated in the figure, then

Light of wavelength 450 nm is incident on a narrow slit. The diffraction pattern is observed on a screen 5.0 m from the slit, and the central maximum is observed to have a width of 22 cm. What is the width of the slit?

The headlights of an oncoming car are 1.2 m apart. What is the maximum distance from the car at which you can resolve the lights as two sources if the diameter of the pupil of your eye is 5.0 mm and the wavelength of the light is 555 nm?

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

Exam 13: Interference and Diffraction

Two coherent sources of monochromatic light are located at S1 and S2 as shown. If the sources are in phase, the intensity at point P is a maximum when

The angle at which a telescope must be set to locate the second-order image of light of wavelength 589.3 nm is approximately

When a first-order spectrum is examined by means of a one-inch grating having 10,000 lines/inch, the resolving power is R. When a second-order spectrum is examined by means of a two-inch grating having 20,000 lines/inch, the resolving power is

Two slits of width a = 0.0016 mm are separated by a distance d = 0.04 mm and illuminated by light of wavelength λ\lambdaλ = 450 nm. The number of bright fringes seen in the central maximum is

The different colors seen on a soap bubble are produced by

You illuminate a slit 0.20 mm wide with monochromatic light of wavelength 600 nm, and focus the Fraunhofer diffraction pattern on a screen with a lens of focal length 1)50 m. The distance on the screen from the center of the central maximum to the first minimum is

In dealing with the diffraction pattern of a single slit, we are usually interested in the location of the first minimum in light intensity because

An easy way to distinguish whether the fringe pattern is the result of a single slit or from a double slit is

The minimum path difference that will produce a phase difference of 180º for light of wavelength 600 nm is

The pattern of light and dark fringes formed in Young's double-slit experiment is due to

The interference pattern is from a lens placed on a flat reflecting surface illuminate using a monochromatic light from above. From the pattern one can conclude that the lens

A student looks through a transmission grating at the light from a helium light source. He sees the red, yellow, and green light from the source superimposed on a meterstick. If the yellow lines are the ones indicated in the figure, then

Light of wavelength 450 nm is incident on a narrow slit. The diffraction pattern is observed on a screen 5.0 m from the slit, and the central maximum is observed to have a width of 22 cm. What is the width of the slit?

The headlights of an oncoming car are 1.2 m apart. What is the maximum distance from the car at which you can resolve the lights as two sources if the diameter of the pupil of your eye is 5.0 mm and the wavelength of the light is 555 nm?

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

Two coherent sources of monochromatic light are located at S₁ and S₂ as shown. If the sources are in phase, the intensity at point P is a maximum when

Two slits of width a = 0.0016 mm are separated by a distance d = 0.04 mm and illuminated by light of wavelength $\lambda$ = 450 nm. The number of bright fringes seen in the central maximum is