Question 1

If y = 0.02 sin (30x − 400t)(SI units),the wavelength of the wave is

Accepted Answer

A) π/15 m 
B) 15/π m 
C) 60π m 
D) 4.2 m 
E) 30 m 
A) π/15 m 
B) 15/π m 
C) 60π m 
D) 4.2 m 
E) 30 m

Question 2

You are holding on to one end of a long string that is fastened to a rigid steel light pole.After producing a wave pulse that was 5 mm high and 4 cm wide,you want to produce a pulse that is 6 cm wide but still 5 mm high.You must move your hand up and down once,

Accepted Answer

A) the same distance up as before,but take a shorter time. 
B) the same distance up as before,but take a longer time. 
C) a smaller distance up,but take a shorter time. 
D) a greater distance up,but take a longer time. 
E) a greater distance up,but take the same time. 
A) the same distance up as before,but take a shorter time. 
B) the same distance up as before,but take a longer time. 
C) a smaller distance up,but take a shorter time. 
D) a greater distance up,but take a longer time. 
E) a greater distance up,but take the same time.

Question 3

You are holding on to one end of a long string that is fastened to a rigid steel light pole.After producing a wave pulse that was 5 mm high and 4 cm wide,you want to produce a pulse that is 4 cm wide but 7 mm high.You must move your hand up and down once,

Accepted Answer

A) the same distance up as before,but take a shorter time. 
B) the same distance up as before,but take a longer time. 
C) a smaller distance up,but take a shorter time. 
D) a greater distance up,but take a longer time. 
E) a greater distance up,but take the same time. 
A) the same distance up as before,but take a shorter time. 
B) the same distance up as before,but take a longer time. 
C) a smaller distance up,but take a shorter time. 
D) a greater distance up,but take a longer time. 
E) a greater distance up,but take the same time.

Question 4

For the transverse wave described by  
,determine the maximum transverse speed of the particles of the medium.

Accepted Answer

A) 0.192 m/s 
B) 0.6π m/s 
C) 9.6 m/s 
D) 4 m/s 
E) 2 m/s 
A) 0.192 m/s 
B) 0.6π m/s 
C) 9.6 m/s 
D) 4 m/s 
E) 2 m/s

Question 5

For the wave described by  
,determine the x coordinate of the second maximum when t = 0.

Accepted Answer

A) 20 m 
B) 18 m 
C) 24 m 
D) 28 m 
E) 16 m 
A) 20 m 
B) 18 m 
C) 24 m 
D) 28 m 
E) 16 m

Question 6

Refer to Exhibit 16-3.Rank the wave functions in order of the magnitude of the frequencies of the waves,from least to greatest.

Accepted Answer

A) IV,II,I,III 
B) IV = II,I,III 
C) III,I,II,IV 
D) IV,I,II,III 
E) III,IV,II,I 
A) IV,II,I,III 
B) IV = II,I,III 
C) III,I,II,IV 
D) IV,I,II,III 
E) III,IV,II,I

Question 7

Suppose that you were selected for a "Survivor"-type TV show.To help keep your group connected,you suggest that long vines can be tied together and used to transmit signals in cases of emergency.To get the signals to travel faster,you should

Accepted Answer

A) select lighter vines. 
B) increase the tension on the vines. 
C) hang weights from the vines at evenly spaced intervals. 
D) do all of the above. 
E) do (a)or (b)above,preferably both. 
A) select lighter vines. 
B) increase the tension on the vines. 
C) hang weights from the vines at evenly spaced intervals. 
D) do all of the above. 
E) do (a)or (b)above,preferably both.

Question 8

Earthquake waves are classified as P waves and S waves.Which of the following statements is true about these waves?

Accepted Answer

A) The P wave is transverse as is the S wave. 
B) The P wave is longitudinal as is the S wave. 
C) The P wave is transverse and the S wave is longitudinal. 
D) The P wave is longitudinal and the S wave is transverse. 
E) Both the P and S waves are mixtures of longitudinal and transverse waves. 
A) The P wave is transverse as is the S wave. 
B) The P wave is longitudinal as is the S wave. 
C) The P wave is transverse and the S wave is longitudinal. 
D) The P wave is longitudinal and the S wave is transverse. 
E) Both the P and S waves are mixtures of longitudinal and transverse waves.

Question 9

Exhibit 16-2
The figure below shows a sine wave on a string at one instant of time.   Use this exhibit to answer the following question(s).
-Refer to Exhibit 16-2.Which of the graphs below shows a wave where the frequency and wave velocity are both doubled?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

If y = 0.02 sin (30x − 400t)(SI units),the angular frequency of the wave is

Accepted Answer

A) 30 rad/s 
B) 30/2π rad/s 
C) 400/2π rad/s 
D) 400 rad/s 
E) 40/3 rad/s 
A) 30 rad/s 
B) 30/2π rad/s 
C) 400/2π rad/s 
D) 400 rad/s 
E) 40/3 rad/s

Question 11

A piano string of density 0.005 0 kg/m is under a tension of 1 350 N.Find the velocity with which a wave travels on the string.

Accepted Answer

A) 260 m/s 
B) 520 m/s 
C) 1 040 m/s 
D) 2 080 m/s 
E) 4 160 m/s 
A) 260 m/s 
B) 520 m/s 
C) 1 040 m/s 
D) 2 080 m/s 
E) 4 160 m/s

Question 12

You are holding on to one end of a long string that is fastened to a rigid steel light pole.After producing a wave pulse that was 5 mm high and 4 cm wide,you want to produce a pulse that is 6 cm wide and 7 mm high.You must move your hand up and down once,

Accepted Answer

A) the same distance up as before,but take a shorter time. 
B) the same distance up as before,but take a longer time. 
C) a smaller distance up,but take a shorter time. 
D) a greater distance up,but take a longer time. 
E) a greater distance up,but take the same time. 
A) the same distance up as before,but take a shorter time. 
B) the same distance up as before,but take a longer time. 
C) a smaller distance up,but take a shorter time. 
D) a greater distance up,but take a longer time. 
E) a greater distance up,but take the same time.

Question 13

A student attaches a length of nylon fishing line to a fence post.She stretches it out and shakes the end of the rope in her hand back and forth to produce waves on the line.The most efficient way for her to increase the wavelength is to

Accepted Answer

A) increase the tension on the hose and shake the end more times per second. 
B) decrease the tension on the hose and shake the end more times per second. 
C) increase the tension on the hose and shake the end fewer times per second. 
D) decrease the tension on the hose and shake the end fewer times per second. 
E) keep the tension and frequency the same but increase the length of the hose. 
A) increase the tension on the hose and shake the end more times per second. 
B) decrease the tension on the hose and shake the end more times per second. 
C) increase the tension on the hose and shake the end fewer times per second. 
D) decrease the tension on the hose and shake the end fewer times per second. 
E) keep the tension and frequency the same but increase the length of the hose.

Question 14

The wavelength of light visible to the human eye is on the order of 5 × 10−7 m.If the speed of light in air is 3 × 108 m/s,find the frequency of the lightwave.

Accepted Answer

A) 3 × 107 Hz 
B) 4 × 109 Hz 
C) 5 × 1011 Hz 
D) 6 × 1014 Hz 
E) 4 × 1015 Hz 
A) 3 × 107 Hz 
B) 4 × 109 Hz 
C) 5 × 1011 Hz 
D) 6 × 1014 Hz 
E) 4 × 1015 Hz

Question 15

The speed of a 10-kHz sound wave in seawater is approximately 1 500 m/s.What is its wavelength in sea water?

Accepted Answer

A) 5.0 cm 
B) 10 cm 
C) 15 cm 
D) 20 cm 
E) 29 cm 
A) 5.0 cm 
B) 10 cm 
C) 15 cm 
D) 20 cm 
E) 29 cm

Question 16

Ariel claims that a pulse is described by the equation  
Where x and y are measured in cm and t in s.Miranda says that it is not possible to represent a pulse with this function because a wave must be a function of x + vt or x − vt.Which one,if either,is correct,and why?

Accepted Answer

A) Ariel,because x2 - 6.0xt + 9t2 = (x - 3.0t)2. 
B) Ariel,because a pulse is not an infinite wave. 
C) Miranda,because (x - 3.0t)2 is the same as (3.0t - x)2. 
D) Miranda,because a pulse is not an infinite wave. 
E) Miranda,because   is infinite when x = 0. 
A) Ariel,because x2 - 6.0xt + 9t2 = (x - 3.0t)2. 
B) Ariel,because a pulse is not an infinite wave. 
C) Miranda,because (x - 3.0t)2 is the same as (3.0t - x)2. 
D) Miranda,because a pulse is not an infinite wave. 
E) Miranda,because   is infinite when x = 0.

Question 17

An earthquake emits both S-waves and P-waves which travel at different speeds through the Earth.A P-wave travels at 9 000 m/s and an S-wave travels at 5 000 m/s.If P-waves are received at a seismic station 1.00 minute before an S-wave arrives,how far away is the earthquake center?

Accepted Answer

A) 88.9 km 
B) 1 200 km 
C) 675 km 
D) 240 km 
E) 480 km 
A) 88.9 km 
B) 1 200 km 
C) 675 km 
D) 240 km 
E) 480 km

Question 18

If y = 0.02 sin (30x − 400t)(SI units),the frequency of the wave is

Accepted Answer

A) 30 Hz 
B) 15/π Hz 
C) 200/π Hz 
D) 400 Hz 
E) 800π Hz 
A) 30 Hz 
B) 15/π Hz 
C) 200/π Hz 
D) 400 Hz 
E) 800π Hz

Question 19

Exhibit 16-1
The figure below shows a sine wave at one point of a string as a function of time.   Use the exhibit to answer the following question(s).
-Refer to Exhibit 16-1.Which of the graphs below shows a wave where the amplitude and frequency are each reduced in half?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

What is the expression for the transverse velocity of the wave in a string given by  
?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Exam 16: Wave Motion

If y = 0.02 sin (30x − 400t)(SI units),the wavelength of the wave is

You are holding on to one end of a long string that is fastened to a rigid steel light pole.After producing a wave pulse that was 5 mm high and 4 cm wide,you want to produce a pulse that is 6 cm wide but still 5 mm high.You must move your hand up and down once,

You are holding on to one end of a long string that is fastened to a rigid steel light pole.After producing a wave pulse that was 5 mm high and 4 cm wide,you want to produce a pulse that is 4 cm wide but 7 mm high.You must move your hand up and down once,

For the transverse wave described by ,determine the maximum transverse speed of the particles of the medium.

For the wave described by ,determine the x coordinate of the second maximum when t = 0.

Refer to Exhibit 16-3.Rank the wave functions in order of the magnitude of the frequencies of the waves,from least to greatest.

Suppose that you were selected for a "Survivor"-type TV show.To help keep your group connected,you suggest that long vines can be tied together and used to transmit signals in cases of emergency.To get the signals to travel faster,you should

Earthquake waves are classified as P waves and S waves.Which of the following statements is true about these waves?

Exhibit 16-2 The figure below shows a sine wave on a string at one instant of time. Use this exhibit to answer the following question(s). -Refer to Exhibit 16-2.Which of the graphs below shows a wave where the frequency and wave velocity are both doubled?

If y = 0.02 sin (30x − 400t)(SI units),the angular frequency of the wave is

A piano string of density 0.005 0 kg/m is under a tension of 1 350 N.Find the velocity with which a wave travels on the string.

You are holding on to one end of a long string that is fastened to a rigid steel light pole.After producing a wave pulse that was 5 mm high and 4 cm wide,you want to produce a pulse that is 6 cm wide and 7 mm high.You must move your hand up and down once,

A student attaches a length of nylon fishing line to a fence post.She stretches it out and shakes the end of the rope in her hand back and forth to produce waves on the line.The most efficient way for her to increase the wavelength is to

The wavelength of light visible to the human eye is on the order of 5 × 10−7 m.If the speed of light in air is 3 × 108 m/s,find the frequency of the lightwave.

The speed of a 10-kHz sound wave in seawater is approximately 1 500 m/s.What is its wavelength in sea water?

Ariel claims that a pulse is described by the equation Where x and y are measured in cm and t in s.Miranda says that it is not possible to represent a pulse with this function because a wave must be a function of x + vt or x − vt.Which one,if either,is correct,and why?

An earthquake emits both S-waves and P-waves which travel at different speeds through the Earth.A P-wave travels at 9 000 m/s and an S-wave travels at 5 000 m/s.If P-waves are received at a seismic station 1.00 minute before an S-wave arrives,how far away is the earthquake center?

If y = 0.02 sin (30x − 400t)(SI units),the frequency of the wave is

Exhibit 16-1 The figure below shows a sine wave at one point of a string as a function of time. Use the exhibit to answer the following question(s). -Refer to Exhibit 16-1.Which of the graphs below shows a wave where the amplitude and frequency are each reduced in half?

What is the expression for the transverse velocity of the wave in a string given by ?

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The wavelength of light visible to the human eye is on the order of 5 × 10−⁷ m.If the speed of light in air is 3 × 10⁸ m/s,find the frequency of the lightwave.