Question 1

Single-slit diffraction: A single slit illuminated with a 500 nm light gives a diffraction pattern on a far screen. The 5th minimum occurs at 7.00° away from the central maximum. At what angle does the 18th minimum occur?

Accepted Answer

A)  26.0° 
B)  1.94° 
C)  5.05° 
D)  0.44°

Question 2

Double-slit interference: A pair of narrow slits, separated by 1.8 mm, is illuminated by a monochromatic light source. Light waves arrive at the two slits in phase, and a fringe pattern is observed on a screen 4.8 m from the slits. If there are 5.0 complete bright fringes per centimeter on the screen near the center of the pattern, what is the wavelength of the monochromatic light?

Accepted Answer

A)  550 nm 
B)  600 nm 
C)  650 nm 
D)  700 nm 
E)  750 nm

Question 3

X-ray diffraction: If an X-ray beam of wavelength 1.4 × 10-10 m makes an angle of 20° with a set of planes in a crystal causing first order constructive interference, at what angle will the second order line appear?

Accepted Answer

A)  40° 
B)  20° 
C)  43° 
D)  4.0° 
E)  11°

Question 4

Thin films: A thin layer of oil (n = 1.25) is on top of a puddle of water (n = 1.33). If normally incident 500-nm light is strongly reflected, what is the minimum nonzero thickness of the oil layer?

Accepted Answer

A)  200 nm 
B)  250 nm 
C)  100 nm 
D)  400 nm 
E)  150 nm

Question 5

Single-slit diffraction: Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

Accepted Answer

A)  0.39 m 
B)  0.47 m 
C)  0.93 m 
D)  1.1 m 
E)  1.9 m

Question 6

Single-slit diffraction: A slit of width 0.010 mm has light of frequency 5.0 × 1014 Hz passing through it onto a screen 60 cm away. How wide is the central maximum? (c = 3.00 × 108 m/s)

Accepted Answer

A)  0.12 cm 
B)  7.2 cm 
C)  1.8 cm 
D)  3.6 cm 
E)  0.90 cm

Question 7

Diffraction grating: An 18-mm wide diffraction grating has rulings of 880 lines per mm. Monochromatic light of 590 nm wavelength is incident normally on the grating. What is the largest angle, measured from the central bright spot, at which an intensity maximum is formed?

Accepted Answer

A)  31° 
B)  29° 
C)  27° 
D)  25° 
E)  23°

Question 8

Intensity of single-slit pattern: A slit of width 2.0 μm is used in a single slit experiment with light of wavelength 650 nm. If the intensity at the central maximum is I0, what is the intensity 10° from the center?

Accepted Answer

A)  0.53I0 
B)  0.030I0 
C)  0.43I0 
D)  0.50I0 
E)  0.35I0

Question 9

Circular aperture: Light of wavelength 633 nm from a He-Ne laser passes through a circular aperture and is observed on a screen 4.0 m behind the aperture. The diameter of the central bright area is 5.4 cm. What is the diameter of the aperture?

Accepted Answer

A)  110 μm 
B)  2.0 μm 
C)  6600 μm 
D)  960 μm

Question 10

Diffraction grating: A diffraction grating has 300 lines per mm. If light of frequency 4.76 × 1014 Hz is sent through this grating, at what angle does the first order maximum occur? (c = 3.00 × 108 m/s)

Accepted Answer

A)  56° 
B)  44° 
C)  22° 
D)  11° 
E)  28°

Question 11

Single-slit diffraction: If the fifth order minimum in the diffraction pattern due to a thin slit is at 40° from the central maximum, at what angle does the first order minimum occur?

Accepted Answer

A)  8.0° 
B)  3.4° 
C)  4.0° 
D)  7.4° 
E)  1.7°

Question 12

Intensity of double-slit pattern: Light of wavelength 525 nm passes through two slits separated by 0.500 mm and produces an interference pattern on a screen 7.80 m away. The intensity at the central maximum is I₀. What is the distance on the screen from the center of this central maximum to the point where the intensity due to double-slit interference has fallen to 1/2 I₀?

Accepted Answer

The answer of Intensity of double-slit pattern: Light of wavelength...

Question 13

Thin films: Light is incident normally from air onto a liquid film that is on a glass plate. The liquid film is 164 nm thick, and the liquid has index of refraction 1.60. The glass has index of refraction n = 1.50. Calculate the longest visible wavelength (as measured in air) of the light for which there will be totally destructive interference between the rays reflected from the top and bottom surfaces of the film. (Assume that the visible spectrum lies between 400 and 700 nm.)

Accepted Answer

The answer of Thin films: Light is incident normally from...

Question 14

Diffraction grating: Monochromatic light of wavelength 500 nm is incident normally on a diffraction grating. If the third-order maximum of the diffraction pattern is observed at 32.0° from the central spot, how many TOTAL number of maxima can be seen?

Accepted Answer

A)  5 
B)  7 
C)  10 
D)  11 
E)  13

Question 15

Thin films: Two optically flat glass plates, 16.0 cm long, are in contact at one end and separated by 0.0200 mm at the other end. The space between the plates is occupied by oil with index of refraction 1.45. The index of refraction of the glass plates is 1.55. The plates are illuminated at normal incidence with monochromatic light, and fringes are observed. If the dark fringes are spaced 2.00 mm apart, what is the wavelength of the monochromatic light?

Accepted Answer

A)  425 nm 
B)  475 nm 
C)  525 nm 
D)  675 nm 
E)  725 nm

Question 16

Diffraction grating: A thin beam of laser light of wavelength 514 nm passes through a diffraction grating having 3952 lines/cm. The resulting pattern is viewed on a distant curved screen that can show all bright fringes up to and including ±90.0° from the central spot. What is the TOTAL number of bright fringes that will show up on the screen?

Accepted Answer

A)  4 
B)  5 
C)  8 
D)  9 
E)  10

Question 17

Circular aperture: Light of wavelength 500 nm illuminates a round 0.50-mm diameter hole. A screen is placed 6.3 m behind the slit. What is the diameter of the central bright area on the screen?

Accepted Answer

A)  15 mm 
B)  270 μm 
C)  7.7 mm 
D)  3800 μm

Question 18

Double-slit interference: A double slit illuminated with light of wavelength 588 nm forms a diffraction pattern on a screen 11.0 cm away. The slit separation is 2464 nm. What is the distance between the third and fourth bright fringes away from the central fringe?

Accepted Answer

A)  23.9 cm 
B)  5.96 cm 
C)  5.59 cm 
D)  2.63 cm

Question 19

Double-slit interference: Light of wavelength 575 nm passes through a double-slit and the third order bright fringe is seen at an angle of 6.5° away from the central fringe. What is the separation between the double slits?

Accepted Answer

A)  5.0 µm 
B)  10 µm 
C)  15 µm 
D)  20 µm 
E)  25 µm

Question 20

Double-slit interference: Light of wavelength 519 nm passes through two slits. In the interference pattern on a screen 4.6 m away, adjacent bright fringes are separated by 5.2 mm in the general vicinity of the center of the pattern. What is the separation of the two slits?

Accepted Answer

The answer of Double-slit interference: Light of wavelength 519 nm...

Exam 28: Sources of Magnetic Field

Single-slit diffraction: A single slit illuminated with a 500 nm light gives a diffraction pattern on a far screen. The 5^th minimum occurs at 7.00° away from the central maximum. At what angle does the 18^th minimum occur?

X-ray diffraction: If an X-ray beam of wavelength 1.4 × 10^-10 m makes an angle of 20° with a set of planes in a crystal causing first order constructive interference, at what angle will the second order line appear?

Thin films: A thin layer of oil (n = 1.25) is on top of a puddle of water (n = 1.33) . If normally incident 500-nm light is strongly reflected, what is the minimum nonzero thickness of the oil layer?