Name: 
 

Waves & Light Review



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

1. 

A wave travelling along a spring with a wavelength of 2.0 m enters a second spring where the wavelength becomes 3.0 m. If the speed in the first spring was 4.4 m/s, the speed of the wave in the second spring is
a.
0.73 m/s
d.
4.4 m/s
b.
2.2 m/s
e.
6.6 m/s
c.
2.9 m/s
 
 
waves_-_light_revie_files/i0030000.jpg
 

2. 

The diagram above shows a series of wave fronts travelling in a ripple tank from a deep portion to a shallow portion of the tank. The ratio of the speed of the waves in the shallow portion to the speed in the deep portion for the above case is
a.
waves_-_light_revie_files/i0040000.jpg
d.
waves_-_light_revie_files/i0040001.jpg
b.
waves_-_light_revie_files/i0040002.jpg
e.
waves_-_light_revie_files/i0040003.jpg
c.
waves_-_light_revie_files/i0040004.jpg
 
 
waves_-_light_revie_files/i0050000.jpg
 

3. 

A series of wave fronts in a wave tank travelling toward an opening are shown above. Which of the following changes would cause an increase in the amount of diffraction?
a.
decreasing the amplitude of the wave
b.
decreasing the frequency of the wave
c.
increase the size of the opening
d.
placing the wave generator closer to the opening
e.
using a shorter wavelength
 

4. 

Two point sources vibrating in phase in a ripple tank are placed a fixed distance apart, creating a stationary nodal line pattern. Which of the following statements concerning the nodal lines is incorrect?
a.
In areas between the nodal lines, energy is transmitted away from the sources.
b.
When the distance from the sources is large, the nodal line separation is one-half of a wavelength.
c.
The path length difference from the sources to any point on a given nodal line is a fixed value.
d.
Nodal lines are a result of continuous destructive interference.
e.
The nodal lines are hyperbolas, becoming essentially straight lines at great distances from the source.
 

5. 

In a two-point source interference pattern in a ripple tank, a point is one-half wavelength farther from one source than the other. If the two sources are in phase, then there is
a.
destructive interference at this point
b.
constructive interference at this point
c.
both constructive and destructive interference simultaneously
d.
neither constructive nor destructive interference at this point
e.
no interaction between the two waves at this point
 

6. 

In a two-point source interference pattern in a ripple tank, a point is one wavelength farther from one source than the other. If the two sources are in phase, then there is
a.
destructive interference at this point
b.
constructive interference at this point
c.
both constructive and destructive interference simultaneously
d.
neither constructive nor destructive interference at this point
e.
no interaction between the two waves at this point
 
 
waves_-_light_revie_files/i0100000.jpg
 

7. 

The diagram above shows two identical speakers arranged at ear level. They are emitting the same frequency in phase. The speakers are 3.0 m apart and an observer stands 4.0 m directly in front of one speaker at point X. The sound intensity will be least for the observer at X when the wavelength of the sound is
a.
5.0 m
d.
2.0 m
b.
4.0 m
e.
1.0 m
c.
3.0 m
 

8. 

The diagram above shows two identical speakers arranged at ear level. They are emitting the same frequency in phase. The speakers are 3.0 m apart and an observer stands 4.0 m directly in front of one speaker at point X. The sound intensity will be greatest for the observer at X when the wavelength of the sound is
a.
1.0 m
d.
4.0 m
b.
2.0 m
e.
5.0 m
c.
3.0 m
 

9. 

A two-point source interference pattern is generated in a ripple tank by identical sources vibrating in phase and located 12.0 cm apart. There are seven nodal lines observed on each side of the centre line. If the frequency of the sources is doubled and they remain in phase
a.
the number of nodal lines observed will double
b.
the wavelength doubles
c.
the speed of the wave doubles
d.
the number of nodal lines will decrease to half
e.
the average distance between nodal lines increases
 

10. 

Which of the following properties of light cannot be explained by the wave theory but can easily be explained by the particle theory?
a.
rectilinear propagation
d.
dispersion
b.
transmission in a vacuum
e.
diffraction
c.
refraction
 

11. 

An interference pattern from a monochromatic laser light is observed on a screen. If l is the wavelength of the source, w is the width of each slit, L is the distance between the slits and the screen, and Dx is the distance between adjacent nodal lines in the pattern, then the distance between the centre of the two slits d is
a.
waves_-_light_revie_files/i0150000.jpg
d.
waves_-_light_revie_files/i0150001.jpg
b.
waves_-_light_revie_files/i0150002.jpg
e.
none of the above
c.
waves_-_light_revie_files/i0150003.jpg
 

12. 

An interference pattern from a monochromatic laser light is observed on a screen. If d is the distance between the centre of the slits, w is the width of each slit, L is the distance between the slits and the screen, and Dx is the distance between adjacent nodal lines in the pattern, then the wavelength of the light l is
a.
waves_-_light_revie_files/i0160000.jpg
d.
waves_-_light_revie_files/i0160001.jpg
b.
waves_-_light_revie_files/i0160002.jpg
e.
waves_-_light_revie_files/i0160003.jpg
c.
waves_-_light_revie_files/i0160004.jpg
 

13. 

Two monochromatic point sources of light, S1 and S2, are shown below. They are initially in phase.
waves_-_light_revie_files/i0170000.jpg
As the phase of S1 is increasingly delayed with respect to S2, which of the following would be observed?
a.
The interference pattern will slowly disappear.
b.
The distance between adjacent dark bands will increase.
c.
The distance between adjacent dark bands will decrease.
d.
The pattern of dark bands will slowly begin to shift.
e.
The central maximum will become twice as wide.
 

14. 

Light from a monochromatic source shines on two adjacent, narrow slits. Which of the intensity patterns shown below best illustrates the interference pattern observed?
a.
waves_-_light_revie_files/i0180000.jpg
d.
waves_-_light_revie_files/i0180001.jpg
b.
waves_-_light_revie_files/i0180002.jpg
e.
waves_-_light_revie_files/i0180003.jpg
c.
waves_-_light_revie_files/i0180004.jpg
 

15. 

A student performs a double-slit experiment using a monochromatic light source, two slits spaced 0.10 mm apart, and a screen located 150 cm away. The bright fringes are located 0.30 cm apart. If the screen distance was changed to 3.0 m from the sources, what would the average distance between bright fringes become?
a.
0.20 cm
d.
0.67 cm
b.
0.30 cm
e.
0.50 m
c.
0.60 cm
 

16. 

A student performs a double-slit experiment using a monochromatic light source with a wavelength of 5.00 ´ 10–7 m. The pattern appears on a screen 150 cm away and the bright fringes are 0.40 cm apart. If the wavelength of the light used is changed to 7.50 ´ 10–7 m, what would the average distance between bright fringes become?
a.
0.15 cm
d.
0.60 cm
b.
0.20 cm
e.
1.5 m
c.
0.27 cm
 

17. 

A beam of light travels from a vacuum into water at an angle of 45o. The light has a frequency of 6.00 ´ 1014 Hz and travels at a speed of 2.26 ´ 108 m/s in water. The speed of light in a vacuum is 3.00 ´ 108 m/s. What is the wavelength of the light in the vacuum?
a.
5.00 ´ 10–7 m
d.
1.33 m
b.
2.21 ´ 10–7 m
e.
0.753 m
c.
3.77 ´ 10–7 m
 

18. 

A triangular prism disperses white light into its spectral colours. Red is deviated least, while violet is deviated most. Which of the following statements explains this phenomenon best?
a.
The speed of red light in glass is less than the speed of violet light.
b.
Both the wavelength and the speed of the violet light are greater in glass than the red light.
c.
Both the wavelength and the frequency of the violet light are greater in glass than the red light.
d.
The index of refraction for red light in glass is greater than that of violet light.
e.
The index of refraction for red light in glass is less than that of violet light.
 

19. 

In which of the following can the property of polarization not be used?
a.
analyze the stress distribution in materials
b.
improve picture quality in photography
c.
reducing glare from the Sun
d.
identifying solution concentrations
e.
measuring very small distances using interference patterns
 

20. 

A student wishes to measure very small distances using the interference pattern generated by monochromatic light. The pattern must be widely spaced with numerous fringes and clearly defined. Which of the following experimental set-ups would generate the most suitable pattern?
a.
blue light and a wide single slit
b.
red light and a narrow single slit
c.
blue light and narrow double slits spaced close together
d.
red light and narrow double slits spaced close together
e.
red light and narrow double slits spaced far apart
 

21. 

An experiment using a diffraction grating with a monochromatic light source is performed to create an interference pattern on a screen. Which of the following changes would cause the pattern to spread out?
a.
perform the exact same experiment underwater
b.
use a grating that has a higher line density
c.
use a light source with a shorter wavelength
d.
move the screen farther away
e.
both b. and d.
 

22. 

An experiment using a diffraction grating with a monochromatic light source is performed to create an interference pattern on a screen. Consider the following changes:
I.      Decrease the line density of the grating.
II.      Increase the frequency of the source.
III.      Decrease the distance to the screen.
Which of these changes would cause the pattern to spread out?
a.
I only
b.
III only
c.
I and III only
d.
I, II, and III
e.
None of these changes would cause the pattern to spread out.
 

23. 

Monochromatic red light is shone from above on two soap films, A and B, as shown below. An observer at position X observes that film A appears uniformly red while film B has alternate, equally spaced, red and black bands.
waves_-_light_revie_files/i0270000.jpg
Which statement best explains these observations?
a.
Film A has a thickness of waves_-_light_revie_files/i0270001.jpg and film B has a thickness of waves_-_light_revie_files/i0270002.jpg.
b.
Film A has a thickness of waves_-_light_revie_files/i0270003.jpg and film B has a thickness of waves_-_light_revie_files/i0270004.jpg.
c.
Film A has a thickness much less than waves_-_light_revie_files/i0270005.jpg and film B has a thickness of waves_-_light_revie_files/i0270006.jpg.
d.
Film A has a constant thickness and film B has a variable thickness.
e.
Film A has a variable thickness and film B has a constant thickness.
 

24. 

Light from a monochromatic source is aimed toward two thin films as shown below. Shown are both reflected and transmitted rays at each surface. The thickness of each film is indicated in terms of the wavelength of the light in each film. Positions I, II, III, and IV indicate possible locations for a photometer to take light intensity readings.
waves_-_light_revie_files/i0280000.jpg
The maximum readings on the photometer would occur at positions
a.
I and III
d.
II and IV
b.
I and IV
e.
I and II
c.
II and III
 

25. 

Monochromatic light strikes a thin film normal to the surface. To obtain the first transmitted minimum, the thickness of the film must be
a.
much less than waves_-_light_revie_files/i0290000.jpg
d.
waves_-_light_revie_files/i0290001.jpg
b.
waves_-_light_revie_files/i0290002.jpg
e.
waves_-_light_revie_files/i0290003.jpg
c.
waves_-_light_revie_files/i0290004.jpg
 

26. 

To standardize the metre, Michelson used his interferometer and counted the fringes produced by the orange–red spectral line of krypton-86, whose wavelength is 606 nm. If the mirror is moved a distance of 0.500 m, how many bright fringes should pass the reference point?
a.
1.65 ´ 10–6
d.
4.13 ´ 105
b.
1.21 ´ 103
e.
1.65 ´ 106
c.
8.25 ´ 105
 

27. 

One of the mirrors on Michelson's interferometer is moved, causing 175 dark fringes to move past the reference point. If green light with a wavelength of 575 nm was used, through what distance was the mirror moved?
a.
101 mm
d.
5.03 ´ 10–5 mm
b.
50.3 mm
e.
1.01 ´ 10–4 mm
c.
50.3 mm
 

28. 

What is the wavelength of a radio wave (travelling at 3.00 ´ 108 m/s) from a local radio station that broadcasts at 1050 kHz?
a.
286 km
d.
286 m
b.
1.05 ´ 103 m
e.
0.286 m
c.
572 m
 

29. 

Which of the following lists the EM radiation in order from lowest frequency to highest frequency?
a.
infrared radiation, microwaves, ultraviolet radiation, X rays
b.
microwaves, X rays, infrared radiation, ultraviolet radiation
c.
infrared radiation, ultraviolet radiation, microwaves, X rays
d.
microwaves, infrared radiation, ultraviolet radiation, X rays
e.
X rays, microwaves, ultraviolet radiation, infrared radiation
 

30. 

Which of the following lists the EM radiation in order from shortest wavelength to longest wavelength?
a.
infrared radiation, microwaves, ultraviolet radiation, X rays
b.
X rays, microwaves, infrared radiation, ultraviolet radiation
c.
infrared radiation, ultraviolet radiation, microwaves, X rays
d.
microwaves, infrared radiation, ultraviolet radiation, X rays
e.
X rays, ultraviolet radiation, infrared radiation, microwaves
 

Completion
Complete each sentence or statement.
 

31. 

When creating water waves in a ripple tank, the ____________________ appear as bright areas on the screen below.
 

 

32. 

When generating a two-point source interference pattern in a ripple tank, increasing the frequency of the sources causes the wavelength to ____________________.
 

 

33. 

In Young’s double-slit experiment, a(n) ____________________ is produced at the centre of the pattern.
 

 

34. 

The observation that nodal lines are more spaced out for red light than for blue light indicates that red light has a(n) ____________________ wavelength than blue light.
 

 

35. 

The bending of a wave due to changing speed is called ____________________.
 

 

36. 

The bending of a wave around corners or through openings is called ____________________.
 

 

37. 

Light that is composed of a single colour, or wavelength, is called ____________________.
 

 

38. 

____________________ defines the mathematical relationship between the angles of incidence and refraction.
 

 

39. 

Nodal lines in a two-point source interference pattern have a ____________________ shape.
 

 

40. 

The “corpuscular” theory of light was most strongly supported by ____________________.
 

 

41. 

A student observes white light entering a triangular prism and emerging in its spectral colours on the other side. This phenomenon is called ____________________.
 

 

42. 

Red light bends least. According to Snell’s law, the wavelength of red light is ____________________ that of blue light.
 

 

43. 

Since light can be polarized, it must be a(n) ____________________ wave.
 

 

44. 

For two polarizing filters to absorb all of the light passing through them, their polarizing axes must be placed ____________________ to each other.
 

 

45. 

Edwin Land created the first synthetic material used to polarize light which he called ____________________.
 

 

46. 

For diffraction of light through a(n) ____________________ slit, the central maximum is brighter and wider than the remaining maxima.
 

 

47. 

As the diameter of an aperture ____________________, the resolution of the optical instrument decreases.
 

 

48. 

An optical device consisting of a large number of parallel slits that is used in wave analysis is called a(n) _________________________.
 

 

49. 

Using a grating spectroscope, the ____________________ spectrum of a heated element can be analyzed in order to help identify the element.
 

 

50. 

When a light ray in air reflects from a denser medium, such as a soap bubble surface, the phase of the reflected ray is ____________________.
 

 

51. 

For light transmitted through thin films, ____________________ interference occurs when the thickness of the film is nearly zero.
 

 

52. 

A common problem with eyeglasses called ____________________ can be minimized by coating the lenses with a thin film.
 

 

53. 

Three dimensional images called ____________________ are formed as a result of the interference of coherent reflected or transmitted light.
 

 

54. 

Small distances, such as wavelengths of light, can be measured using Michelson’s interferometer by analyzing the _________________________ it produces.
 

 

55. 

Radiation with frequencies above that of ____________________ is considered to be “ionizing” radiation since it can cause atoms to liberate electrons.
 

 

Short Answer
 

56. 

A new radio station wishes to place two transmission towers near each other in a central location between several urban areas. These two towers will act as a two-point source. If the majority of the population lies on an axis running east–west, what orientation should the two towers have in order to maximize the signal reaching the majority of the population?
 

57. 

What three factors must remain the same in order to see a stationary two-point source interference pattern?
 

58. 

The wave theory of light is considered to be an excellent theory, as it satisfies fairly well the two principle functions of a theory. What are the two principle functions of a scientific theory or model?
 

59. 

The diagram shown below illustrates the possible paths followed by a light ray as it enters a lens (n = 1.56) covered with a thin coating (n = 1.25). If the thin coating has a thickness of waves_-_light_revie_files/i0650000.jpg, what type of interference occurs with rays 1 and 2? Explain your answer.
waves_-_light_revie_files/i0650001.jpg
 

60. 

Describe how a glass “optical flat” can be used to test the smoothness of the surface of a metal block.
 

Problem
 

61. 

A ray of monochromatic light travels from oil into crown glass (nglass = 1.52) at an angle of 65.0o. If the angle in glass is 55.0o, what is the index of refraction of the oil?
 

62. 

A ripple tank is used to generate straight waves in region A that travel toward region B, which is separated from region A by a straight boundary. The frequency of the generator is 2.5 Hz, and the waves travel in region A with a speed of 15 cm/s. If the wave fronts in region A strike the boundary at 20o, and the wave fronts in region B leave the boundary at 50o,
(a) use Snell’s law to find the relative index of refraction between the two regions
(b) find the wavelength in each region
 

63. 

A two-point source interference pattern is generated in a swimming pool. A piece of styrofoam, located on the second nodal line, is 12.0 m from one source and 20.0 m from the other source. One wave crest takes 2.0 s to travel the 35.0 m width of the pool. Find the speed, wavelength, and frequency of the waves.
 

64. 

A two-point source interference pattern is generated by sources operating in phase at 1.0 Hz. The sources are 2.0 m apart and the wavelength of the waves is 0.60 m. At what angles, measured from the centre line of the pattern, are the nodal lines produced located?
 

65. 

Light from a monochromatic source passes through a single slit with a width of 12.7 mm. If the fourth dark fringe appears at an angle of 10.0o, calculate the wavelength of light used. What colour is this?
 

Essay
 

66. 

The theory of the wave nature of light proposed by Christiaan Huygens was not readily accepted by many of the early physicists. In order to support his theory, Huygens had to explain the many behaviours of light using his theory. Discuss how Huygens explained the following properties of light using his wave theory and its postulates: reflection, refraction, dispersion, diffraction, and partial reflection–refraction, rectilinear propagation.
 

67. 

A friend asks you to explain why a soap bubble reflects various colours from the surface even though the light source is white. How would you explain this phenomenon?
 



 
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