Name: 
 

MCAS Harmonic Motion and Waves



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

 1. 

Which of the following is the best example of a wave? (MCAS 2004)
a.
a stone rolling downhill
b.
a vehicle traveling on a bumpy road
c.
a string vibrating on a guitar
d.
a grasshopper jumping up and down occasionally
 

 2. 

The diagram below shows a wave trace. (MCAS 2004)
mc002-1.jpg
Distance Z is a measure of
a.
amplitude.
b.
frequency.
c.
wavelength.
d.
wave speed.
 

 3. 

Each of the following illustrations shows the movement of a 1 kg object. Which of these is an example of simple harmonic motion? (MCAS 2005)
a.
mc003-1.jpg
c.
mc003-3.jpg
b.
mc003-2.jpg
d.
mc003-4.jpg
 

 4. 

An organ pipe produces a musical note with a wavelength of 2.72 m. What is
the frequency of this note if the speed of sound is 348 m/s? (MCAS 2005)
a.
85.7 Hz
b.
128 Hz
c.
260 Hz
d.
466 Hz
 

 5. 

Five bowling balls are lined up touching one another on a smooth surface. Striking the first ball with a hammer makes the fifth ball move away from the group. The force of the hammer was transmitted through the line of balls as what type of wave? (MCAS 2005)
a.
electromagnetic
b.
heat
c.
longitudinal
d.
transverse
 

 6. 

The diagram below represents a mass suspended vertically by a rubber band. The mass is set in motion by pulling down slightly on the mass and letting go.
mc006-1.jpg
Which of the following correctly identifies the up-and-down motion of the mass? (MCAS 2006)
a.
torsional
b.
transverse
c.
nonharmonic
d.
simple harmonic
 

 7. 

The illustration below shows three toy ducks floating on water, moving up and down as a wave travels to the right with a velocity of 3 m/s. (MCAS 2006)
mc007-1.jpg
Which of the following is the frequency of the wave?
a.
0.75 Hz
b.
1.33 Hz
c.
1.5 Hz
d.
6.0 Hz
 

 8. 

The figure below shows a spring with a wave traveling through it. (MCAS 2006)
mc008-1.jpg
Which type of wave is illustrated?
a.
sound
b.
transverse
c.
longitudinal
d.
electromagnetic
 

 9. 

What is the frequency of ocean waves that have a speed of 18 m/s and a wavelength of 50 m? (MCAS 2006)
a.
0.18 Hz
b.
0.36 Hz
c.
2.8 Hz
d.
9.0 Hz
 

 10. 

Which of the following provides the best example of simple harmonic motion? (MCAS 2007)
a.
riding a regular bus route
c.
running a consistent daily jog
b.
sliding down a water slide
d.
swinging on a playground swing
 

 11. 

The diagram below shows a wave generator that emits a wave with a frequency of 500 Hz and a wavelength of 0.1 m.  (MCAS 2007)
mc011-1.jpg
How long does it take for the wave to travel a distance of 2000 m?
a.
20 s
b.
30 s
c.
40 s
d.
50 s
 

 12. 

The illustration below shows wave traces of recorded sound waves on two computer screens. (MCAS 2007)
mc012-1.jpg
Traces A and B represent two different sounds with the same time scale horizontally. From a comparison of the wave traces, which of the following correctly describes the relationship of sound B to sound A?
a.
Sound B has a higher velocity.
c.
Sound B has a higher frequency.
b.
Sound B has a higher amplitude.
d.
Sound B has a longer wavelength.
 

 13. 

Which of the following waves travels fastest? (MCAS 2007)
a.
water waves in oceans
c.
sound waves from a violin string
b.
seismic waves in rocks
d.
electromagnetic waves from the Sun
 

 14. 

The diagram below shows a hammer about to strike a moveable piston. (MCAS 2007)
mc014-1.jpg
As the piston moves suddenly when struck, which type of wave pulse is generated in the air inside the cylinder?
a.
electromagnetic
b.
transverse
c.
refracted
d.
longitudinal
 

 15. 

Which of the following statements applies to a longitudinal wave? (MCAS 2008)
a.
The motion of the medium is random.
b.
The motion of the medium is in a circular pattern.
c.
The motion of the medium is parallel to the motion of the wave.
d.
The motion of the medium is perpendicular to the motion of the wave.
 

 16. 

Two students stretch a rope horizontally between them. One student moves one end of the rope up and down repeatedly for a short time. Which of the following describes the frequency of the waves in the rope? (MCAS 2008)
a.
the height that the rope reaches when moved up
b.
the amount of time it takes for one wave to travel the length of the rope
c.
the number of times the rope is moved up and down in a time interval
d.
the distance measured between the crest of one wave and the crest of the next wave in the rope
 

 17. 

Which of the following is possible due to longitudinal waves? (MCAS 2008)
a.
seeing the color red
c.
hearing the sound of the ocean
b.
getting a tan at the beach
d.
riding a wave on a surfboard
 

 18. 

A boat tied to a dock is stationary. Water waves constantly pass by the boat. The crests of the waves are 3 m apart and a crest passes the front of the boat every 4 s. What is the velocity of the waves? (MCAS 2008)
a.
0.75 m/s
b.
1.33 m/s
c.
3 m/s
d.
12 m/s
 

 19. 

Which of the following is an example of a nonharmonic motion? (MCAS 2009)
a.
particles colliding with one another
b.
a pendulum swaying back and forth
c.
a child bouncing up and down on a large spring
d.
waves created on the surface of a glass of water during an earthquake
 

 20. 

A large spring is stretched horizontally between two people. One person wiggles the spring up and down at one end. The up-and-down vibration then moves along the spring to the other person. Which of the following types of wave is created in the spring? (MCAS 2009)
a.
pressure wave
c.
longitudinal wave
b.
transverse wave
d.
nonmechanical wave
 

 21. 

The speed of sound in a particular gas is 900 m/s. A sound wave propagating in this material has a wavelength of 15 m. What is the frequency of this sound? (MCAS 2009)
a.
30 Hz
b.
60 Hz
c.
6,800 Hz
d.
13,500 Hz
 

 22. 

The graphs below give information for waves W and X. Both waves were produced in the same medium and are moving at the same speed.
mc022-1.jpg
Which of the following statements describes another property of these waves? (MCAS 2010)
a.
Wave W has a larger period than wave X.
b.
Wave W has a lower frequency than wave X.
c.
Wave W has a greater amplitude than wave X.
d.
Wave W has a shorter wavelength than wave X.
 

 23. 

A teacher asks a group of students to use a ruler to measure the amplitude of the wave shown below.
mc023-1.jpg
Between which of the following points should the amplitude be measured? (MCAS 2010)
a.
points U and Z
b.
points V and X
c.
points W and Y
d.
points X and Z
 

 24. 

Which of the following would cause a change in the speed of a mechanical wave? (MCAS 2010)
a.
the wave moving through a liquid
b.
the wave moving from a solid to a gas
c.
the wave being made by a larger vibration
d.
the wave being made by a smaller vibration
 

 25. 

A string is tied on a spring. Two students then stretch out the spring, as shown below.
mc025-1.jpg
In which of the following ways does the string move when the students generate a longitudinal wave in the spring? (MCAS 2010)
a.
mc025-2.jpg
b.
mc025-3.jpg
c.
mc025-4.jpg
d.
mc025-5.jpg
 

 26. 

The diagram below shows a wave with four numbered parts.
mc026-1.jpg
Which numbered part of the diagram represents the wavelength? (MCAS 2011)
a.
1
b.
2
c.
3
d.
4
 

 27. 

In a large room, a sound wave traveling from a violin produces a tone with a frequency of 264 Hz. The speed of sound in the room is 340 m/s. What is the wavelength of the sound wave from the violin? (MCAS 2011)
a.
0.004 m
b.
0.80 m
c.
1.3 m
d.
2.6 m
 

 28. 

Which of the following diagrams represents the refraction of waves? (MCAS 2011)
a.
mc028-1.jpg
b.
mc028-2.jpg
c.
mc028-3.jpg
d.
mc028-4.jpg
 

 29. 

A student is sitting on the edge of a swimming pool. The student repeatedly dips his foot in and out of the pool, making waves that move across the water. The student dips his foot slowly at first and then does it faster, each time to the same depth. Which of the following properties of the waves increases as the student dips his foot faster? (MCAS 2012)
a.
frequency
b.
period
c.
velocity
d.
wavelength
 

 30. 

A rope is stretched horizontally between two students. One of the students shakes an end of the rope up and down. Which of the following terms best describes the type of wave that is produced? (MCAS 2012)
a.
electromagnetic
b.
longitudinal
c.
rotational
d.
transverse
 

 31. 

Two waves traveling in the same medium are shown below.
mc031-1.jpg
Which of the following correctly compares the two waves? (MCAS 2012)
a.
Wave X has half the amplitude of wave Y.
b.
Wave X has twice the amplitude of wave Y.
c.
Wave X has a lower frequency and longer wavelength than wave Y.
d.
Wave X has a higher frequency and shorter wavelength than wave Y.
 

 32. 

A 2 m long pendulum swings back and forth 6 times in 17 seconds. What is the period of the pendulum? (MCAS 2013)
a.
0.4 s
b.
2.8 s
c.
12 s
d.
34 s
 

 33. 

A student is shaking one end of a small rug with a ball on top of it. The wave that is produced travels through the rug and moves the ball upward, as shown in the diagram below.
mc033-1.jpg
Which type of wave is produced in the rug? (MCAS 2013)
a.
compression
b.
electromagnetic
c.
longitudinal
d.
transverse
 

 34. 

The diagram below shows two students making a wave with a coiled spring.
mc034-1.jpg
Which of the following waves move most like the wave in the coiled spring? (MCAS 2013)
a.
infrared waves
c.
sound waves
b.
microwaves
d.
ultraviolet waves
 

 35. 

Waves rock a boat in the middle of a pond. The boat moves up and down 10 times in 20 s.
What is the period of the waves? (MCAS 2014)
a.
0.5 s
b.
2 s
c.
10 s
d.
20 s
 

 36. 

A sound wave with a frequency of 1,700 Hz is traveling through air at a speed of 340 m/s. What is the wavelength of this sound wave? (MCAS 2014)
a.
0.2 m
b.
5.0 m
c.
2,040 m
d.
57,800 m
 

 37. 

The diagram below shows a representation of two different waves.
mc037-1.jpg
Which of the following classifies wave X and wave Y? (MCAS 2014)
a.
Both waves are transverse.
b.
Both waves are longitudinal.
c.
Wave X is longitudinal and wave Y is transverse.
d.
Wave X is transverse and wave Y is longitudinal.
 

Open-Response questions.
BE SURE TO ANSWER AND LABEL ALL PARTS OF EACH QUESTION.
Show all your work (diagrams, tables, or computations).
If you do the work in your head, explain in writing how you did the work.
 

 38. 

The drawing below shows two students holding the ends of a spring that has a ribbon attached to it. (MCAS 2007)
ot038-1.jpg
a.       Draw and explain how a transverse wave will move along the spring.
b.       Draw and explain how the ribbon will move when a transverse wave is sent along the spring.
c.       Draw and explain how a longitudinal wave will move along the spring.
d.       Draw and explain how the ribbon will move when a longitudinal wave is sent along the spring.
 

 39. 

A large anchor is being lifted into a boat with metal sides. As the anchor leaves the water it hits the side of the boat, making loud sounds and making waves on the surface of the water. (MCAS 2011)
a.       Describe the motions of the sound waves and the water waves.
b.       Draw a diagram for each of the waves you described in part (a). Be sure to label each diagram.
c.       Describe how the wavelength is measured for the water waves.
 



 
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