Question 1

The minimum path difference that will produce a phase difference of 90º for light of wavelength 500 nm is

Accepted Answer

A) 62.5 nm 
B) 125 nm 
C) 250 nm 
D) 375 nm 
E) 400 nm 
A) 62.5 nm 
B) 125 nm 
C) 250 nm 
D) 375 nm 
E) 400 nm B

Question 2

Two waves,one with amplitude A and the second with amplitude 2A,are in phase.The resultant intensity is

Accepted Answer

A) zero 
B) A 
C) 3A 
D) 3A2 
E) (3
A) 2 
A) zero 
B) A 
C) 3A 
D) 3A2 
E) (3
A) 2 E

Question 3

Diffraction occurs when light passes

Accepted Answer

A) by a small particle. 
B) through a small hole. 
C) through a double slit. 
D) by a sharp edge. 
E) Diffraction occurs in all of these conditions. 
A) by a small particle. 
B) through a small hole. 
C) through a double slit. 
D) by a sharp edge. 
E) Diffraction occurs in all of these conditions. E

Question 4

You set two parallel slits 0.1 mm apart at a distance of 2 m from a screen and illuminate them with light of wavelength 450 nm.The distance between a bright spot in the interference pattern and the dark spot adjacent to it is

Accepted Answer

A) 0.560 mm 
B) 1.12 mm 
C) 2.25 mm 
D) 4.50 mm 
E) 9.00 mm 
A) 0.560 mm 
B) 1.12 mm 
C) 2.25 mm 
D) 4.50 mm 
E) 9.00 mm

Question 5

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 6

You illuminate two slits 0.50 mm apart with light of wavelength 555 nm and observe interference fringes on a screen 6.0 m away.What is the spacing between the fringes on the screen?

Accepted Answer

A) 4.5 mm 
B) 3.3 mm 
C) 6.7 mm 
D) 10 mm 
E) 5.0 mm 
A) 4.5 mm 
B) 3.3 mm 
C) 6.7 mm 
D) 10 mm 
E) 5.0 mm

Question 7

In an experiment to demonstrate interference of light,it is essential that

Accepted Answer

A) coherent sources of light be used. 
B) the light paths differ by not more than one-half wavelength. 
C) the light be monochromatic. 
D) the beam of light be a parallel beam. 
E) there be no difference in light paths. 
A) coherent sources of light be used. 
B) the light paths differ by not more than one-half wavelength. 
C) the light be monochromatic. 
D) the beam of light be a parallel beam. 
E) there be no difference in light paths.

Question 8

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 9

In demonstrating single-slit Fraunhofer diffraction,decreasing the wavelength of the light while keeping the slit width constant

Accepted Answer

A) does not affect the width of the central maximum. 
B) increases the number of fringes within the central maximum. 
C) decreases the number of fringes within the central maximum. 
D) increases the width of the central maximum. 
E) decreases the width of the central maximum 
A) does not affect the width of the central maximum. 
B) increases the number of fringes within the central maximum. 
C) decreases the number of fringes within the central maximum. 
D) increases the width of the central maximum. 
E) decreases the width of the central maximum

Question 10

In a double-slit experiment,the distance from the slits to the screen is decreased by a factor of 2.If the distance between the fringes is small compared with the distance from the slits to the screen,the distance between adjacent fringes

Accepted Answer

A) increases by a factor of 2. 
B) increases by a factor of 4. 
C) depends on the width of the slits. 
D) decreases by a factor of 2. 
E) decreases by a factor of 4. 
A) increases by a factor of 2. 
B) increases by a factor of 4. 
C) depends on the width of the slits. 
D) decreases by a factor of 2. 
E) decreases by a factor of 4.

Question 11

The yellow line of a Sodium lamp is two lines very close together at $\lambda$1 = 589.592 nm and $\lambda$2 = 588.995 nm.A diffraction grating with 10,000 lines/cm is used to resolve the lines.What is the angular separation of the two lines for the first order diffraction?

Accepted Answer

A) 0.212S1U1P1$\circ$S1S1P0 
B) 0.0423S1U1P1$\circ$S1S1P0 
C) 0.0613S1U1P1$\circ$S1S1P0 
D) 0.0814S1U1P1$\circ$S1S1P0 
E) There is no angular separation. 
A) 0.212S1U1P1$\circ$S1S1P0 
B) 0.0423S1U1P1$\circ$S1S1P0 
C) 0.0613S1U1P1$\circ$S1S1P0 
D) 0.0814S1U1P1$\circ$S1S1P0 
E) There is no angular separation.

Question 12

Rayleigh's criterion is most closely associated with

Accepted Answer

A) diffraction 
B) coherence 
C) dispersion 
D) polarization 
E) reflection 
A) diffraction 
B) coherence 
C) dispersion 
D) polarization 
E) reflection

Question 13

Two side-by-side coherent light sources radiate at 450 nm.The phase difference between these two sources at a point in space is 0.333 radians.The path difference between the two sources could be

Accepted Answer

A) 15.8 nm 
B) 20.3 nm 
C) 23.8 nm 
D) 29.7 nm 
E) 32.1 nm 
A) 15.8 nm 
B) 20.3 nm 
C) 23.8 nm 
D) 29.7 nm 
E) 32.1 nm

Question 14

You create a wedge-shaped film of air between two flat plates of glass 2.5 cm wide by laying one on top of the other and placing a small slip of paper 1.0 mm thick between their edges at one end.You illuminate the glass plates with normally incident monochromatic light of unknown wavelength.Observing the reflection,you see dark fringes at both ends of the plates.Between the ends you see three other dark fringes.What is the wavelength of the incident light?

Accepted Answer

A) 250 nm 
B) 400 nm 
C) 440 nm 
D) 500 nm 
E) 620 nm 
A) 250 nm 
B) 400 nm 
C) 440 nm 
D) 500 nm 
E) 620 nm

Question 15

For a given grating,it is observed that a third-order line (m = 3)with $\lambda$ = 465.3 nm overlaps a second-order line (has the same $\theta$ as a line with m = 2).The wavelength of the second-order line is

Accepted Answer

A) 304 nm 
B) 698 nm 
C) 913 nm 
D) 152 nm 
E) 372 nm 
A) 304 nm 
B) 698 nm 
C) 913 nm 
D) 152 nm 
E) 372 nm

Question 16

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 17

When the slits in Young's experiment are moved closer together,the fringes

Accepted Answer

A) remains unchanged. 
B) move closer together. 
C) move further apart. 
D) are less intense. 
E) none of the above 
A) remains unchanged. 
B) move closer together. 
C) move further apart. 
D) are less intense. 
E) none of the above

Question 18

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 19

You deposit a thin film of magnesium difluoride on a glass lens (n > 1.60),reducing the reflection of yellow light,at normal incidence,to a minimum.You find that the thinnest coating that accomplishes this is 106 nm thick.The index of refraction for MgF2 for yellow light ($\lambda$ = 585 nm)is

Accepted Answer

A) 1.50 
B) 1.38 
C) 1.15 
D) 1.00 
E) 0.707 
A) 1.50 
B) 1.38 
C) 1.15 
D) 1.00 
E) 0.707

Question 20

In order to produce several visible interference fringes from two narrow slits using light of a single wavelength,the distance between the slits must be of the order

Accepted Answer

A) of a few tenths of the wavelength. 
B) of a few wavelengths. 
C) of a few tens wavelengths. 
D) of a few hundreds wavelengths. 
E) The distance does not matter. 
A) of a few tenths of the wavelength. 
B) of a few wavelengths. 
C) of a few tens wavelengths. 
D) of a few hundreds wavelengths. 
E) The distance does not matter.

Exam 33: Interference and Diffraction

The minimum path difference that will produce a phase difference of 90º for light of wavelength 500 nm is

Two waves,one with amplitude A and the second with amplitude 2A,are in phase.The resultant intensity is

Diffraction occurs when light passes

You set two parallel slits 0.1 mm apart at a distance of 2 m from a screen and illuminate them with light of wavelength 450 nm.The distance between a bright spot in the interference pattern and the dark spot adjacent to it is

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?

You illuminate two slits 0.50 mm apart with light of wavelength 555 nm and observe interference fringes on a screen 6.0 m away.What is the spacing between the fringes on the screen?

In an experiment to demonstrate interference of light,it is essential that

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

In demonstrating single-slit Fraunhofer diffraction,decreasing the wavelength of the light while keeping the slit width constant

In a double-slit experiment,the distance from the slits to the screen is decreased by a factor of 2.If the distance between the fringes is small compared with the distance from the slits to the screen,the distance between adjacent fringes

The yellow line of a Sodium lamp is two lines very close together at λ\lambdaλ 1 = 589.592 nm and λ\lambdaλ 2 = 588.995 nm.A diffraction grating with 10,000 lines/cm is used to resolve the lines.What is the angular separation of the two lines for the first order diffraction?

Rayleigh's criterion is most closely associated with

Two side-by-side coherent light sources radiate at 450 nm.The phase difference between these two sources at a point in space is 0.333 radians.The path difference between the two sources could be

For a given grating,it is observed that a third-order line (m = 3)with λ\lambdaλ = 465.3 nm overlaps a second-order line (has the same θ\thetaθ as a line with m = 2).The wavelength of the second-order line is

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

When the slits in Young's experiment are moved closer together,the fringes

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

You deposit a thin film of magnesium difluoride on a glass lens (n > 1.60),reducing the reflection of yellow light,at normal incidence,to a minimum.You find that the thinnest coating that accomplishes this is 106 nm thick.The index of refraction for MgF2 for yellow light ( λ\lambdaλ = 585 nm)is

In order to produce several visible interference fringes from two narrow slits using light of a single wavelength,the distance between the slits must be of the order

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The yellow line of a Sodium lamp is two lines very close together at $\lambda$ ₁ = 589.592 nm and $\lambda$ ₂ = 588.995 nm.A diffraction grating with 10,000 lines/cm is used to resolve the lines.What is the angular separation of the two lines for the first order diffraction?

For a given grating,it is observed that a third-order line (m = 3)with $\lambda$ = 465.3 nm overlaps a second-order line (has the same $\theta$ as a line with m = 2).The wavelength of the second-order line 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

You deposit a thin film of magnesium difluoride on a glass lens (n > 1.60),reducing the reflection of yellow light,at normal incidence,to a minimum.You find that the thinnest coating that accomplishes this is 106 nm thick.The index of refraction for MgF₂ for yellow light ( $\lambda$ = 585 nm)is