Question 1

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

Accepted Answer

A) 30 rad/m 
B) 30/2π rad/m 
C) 400/2π rad/m 
D) 400 rad/m 
E) 60π rad/m 
A) 30 rad/m 
B) 30/2π rad/m 
C) 400/2π rad/m 
D) 400 rad/m 
E) 60π rad/m A

Question 2

A piano wire of length 1.5 m vibrates so that one-half wavelength is contained on the string.If the frequency of vibration is 65 Hz,the amplitude of vibration is 3.0 mm,and the density is 15 g/m,how much energy is transmitted per second down the wire?

Accepted Answer

A) 21 W 
B) 11 W 
C) 5.4 W 
D) 2.2 W 
E) 1.1 W 
A) 21 W 
B) 11 W 
C) 5.4 W 
D) 2.2 W 
E) 1.1 W D

Question 3

For the wave described by y = 0.02 sin (kx)at t = 0 s,the first maximum at a positive x coordinate occurs where x = 4 m.Where on the positive x axis does the second maximum occur?

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 A

Question 4

If y = 0.02 sin (30x − 400t)(SI units)and if the mass density of the string on which the wave propagates is 0.005 kg/m,then the transmitted power is

Accepted Answer

A) 1.03 W 
B) 2.13 W 
C) 4.84 W 
D) 5.54 W 
E) 106 W 
A) 1.03 W 
B) 2.13 W 
C) 4.84 W 
D) 5.54 W 
E) 106 W

Question 5

Write the equation of a wave,traveling along the +x axis with an amplitude of 0.02 m,a frequency of 440 Hz,and a speed of 330 m/sec.

Accepted Answer

A) y = 0.02 sin [880π(x/330 − t)] 
B) y = 0.02 cos [880π x/330 − 440t] 
C) y = 0.02 sin [880π(x/330 + t)] 
D) y = 0.02 sin [2π(x/330 + 440t)] 
E) y = 0.02 cos [2π(x/330 + 440t)] 
A) y = 0.02 sin [880π(x/330 − t)] 
B) y = 0.02 cos [880π x/330 − 440t] 
C) y = 0.02 sin [880π(x/330 + t)] 
D) y = 0.02 sin [2π(x/330 + 440t)] 
E) y = 0.02 cos [2π(x/330 + 440t)]

Question 6

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 the frequency are doubled?

Accepted Answer

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

Question 7

Bats can detect small objects such as insects that are of a size on the order of a wavelength.If bats emit a chirp at a frequency of 60 kHz and the speed of soundwaves in air is 330 m/s,what is the smallest size insect they can detect?

Accepted Answer

A) 1.5 mm 
B) 3.5 mm 
C) 5.5 mm 
D) 7.5 mm 
E) 9.8 mm 
A) 1.5 mm 
B) 3.5 mm 
C) 5.5 mm 
D) 7.5 mm 
E) 9.8 mm

Question 8

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

Accepted Answer

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

Question 9

A circus performer stretches a tightrope between two towers.He strikes one end of the rope and sends a wave along it toward the other tower.He notes that it takes 0.8 s for the wave to travel the 20 m to the opposite tower.If one meter of the rope has a mass of 0.35 kg,find the tension in the tightrope.

Accepted Answer

The answer of A circus performer stretches a tightrope between...

Question 10

Bats can detect small objects such as insects that are of a size approximately that of one wavelength.If bats emit a chirp at a frequency of 60 kHz,and the speed of sound in air is 340 m/s,what is the smallest size insect they can detect?

Accepted Answer

The answer of Bats can detect small objects such as...

Question 11

The figure below represents a string which has a heavy section and a light section.The mass per unit length of the heavy section is 16 times as large as the mass per unit length of the light section.When the string is under tension,the speed of a pulse traveling in the heavy section is ____ times the speed of that same pulse traveling in the light section.

Accepted Answer

A)    
B)    
C)    
D) 2 
E) 4 
A)    
B)    
C)    
D) 2 
E) 4

Question 12

The lowest A on a piano has a frequency of 27.5 Hz.If the tension in the 2.00-m string is 308 N,and one-half wavelength occupies the string,what is the mass of the wire?

Accepted Answer

A) 0.025 kg 
B) 0.049 kg 
C) 0.051 kg 
D) 0.081 kg 
E) 0.037 kg 
A) 0.025 kg 
B) 0.049 kg 
C) 0.051 kg 
D) 0.081 kg 
E) 0.037 kg

Question 13

To transmit four times as much energy per unit time along a string,you can

Accepted Answer

A) double the frequency. 
B) double the amplitude. 
C) increase the tension by a factor of 16. 
D) do any one of the above. 
E) do only (a)or (b)above. 
A) double the frequency. 
B) double the amplitude. 
C) increase the tension by a factor of 16. 
D) do any one of the above. 
E) do only (a)or (b)above.

Question 14

Transverse waves are traveling on a 1.00-m long piano string at 500 m/s.If the points of zero vibration occur at one-half wavelength (where the string is fastened at both ends),find the frequency of vibration.

Accepted Answer

A) 250 Hz 
B) 500 Hz 
C) 1 000 Hz 
D) 2 000 Hz 
E) 2 500 Hz 
A) 250 Hz 
B) 500 Hz 
C) 1 000 Hz 
D) 2 000 Hz 
E) 2 500 Hz

Question 15

Refer to Exhibit 16-3.Rank the wave functions in order of the magnitude of the wave speeds,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 16

The equation  
Is the same as

Accepted Answer

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

Question 17

Which of the following is a solution to the wave equation,  
?

Accepted Answer

A)    
B) (cos kx)(sin ωt) 
C) e−x sin ωt 
D) e−x sin (kx − ωt) 
E) e−x cos t 
A)    
B) (cos kx)(sin ωt) 
C) e−x sin ωt 
D) e−x sin (kx − ωt) 
E) e−x cos t

Question 18

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

Accepted Answer

A) 3/40 m/s 
B) 40/3 m/s 
C) 60π/400 m/s 
D) 400/60π m/s 
E) 400 m/s 
A) 3/40 m/s 
B) 40/3 m/s 
C) 60π/400 m/s 
D) 400/60π m/s 
E) 400 m/s

Question 19

Ocean waves with a wavelength of 120 m are coming in at a rate of 8 per minute.What is their speed?

Accepted Answer

A) 8.0 m/s 
B) 16 m/s 
C) 24 m/s 
D) 30 m/s 
E) 4.0 m/s 
A) 8.0 m/s 
B) 16 m/s 
C) 24 m/s 
D) 30 m/s 
E) 4.0 m/s

Question 20

A 100-m long transmission cable is suspended between two towers.If the mass density is 2.01 kg/m and the tension in the cable is 3.00 × 104 N,what is the speed of transverse waves on the cable?

Accepted Answer

A) 60 m/s 
B) 122 m/s 
C) 244 m/s 
D) 310 m/s 
E) 1 500 m/s 
A) 60 m/s 
B) 122 m/s 
C) 244 m/s 
D) 310 m/s 
E) 1 500 m/s

Exam 16: Wave Motion

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

A piano wire of length 1.5 m vibrates so that one-half wavelength is contained on the string.If the frequency of vibration is 65 Hz,the amplitude of vibration is 3.0 mm,and the density is 15 g/m,how much energy is transmitted per second down the wire?

For the wave described by y = 0.02 sin (kx)at t = 0 s,the first maximum at a positive x coordinate occurs where x = 4 m.Where on the positive x axis does the second maximum occur?

If y = 0.02 sin (30x − 400t)(SI units)and if the mass density of the string on which the wave propagates is 0.005 kg/m,then the transmitted power is

Write the equation of a wave,traveling along the +x axis with an amplitude of 0.02 m,a frequency of 440 Hz,and a speed of 330 m/sec.

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 the frequency are doubled?

Bats can detect small objects such as insects that are of a size on the order of a wavelength.If bats emit a chirp at a frequency of 60 kHz and the speed of soundwaves in air is 330 m/s,what is the smallest size insect they can detect?

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

Bats can detect small objects such as insects that are of a size approximately that of one wavelength.If bats emit a chirp at a frequency of 60 kHz,and the speed of sound in air is 340 m/s,what is the smallest size insect they can detect?

The lowest A on a piano has a frequency of 27.5 Hz.If the tension in the 2.00-m string is 308 N,and one-half wavelength occupies the string,what is the mass of the wire?

To transmit four times as much energy per unit time along a string,you can

Transverse waves are traveling on a 1.00-m long piano string at 500 m/s.If the points of zero vibration occur at one-half wavelength (where the string is fastened at both ends),find the frequency of vibration.

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

The equation Is the same as

Which of the following is a solution to the wave equation, ?

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

Ocean waves with a wavelength of 120 m are coming in at a rate of 8 per minute.What is their speed?

A 100-m long transmission cable is suspended between two towers.If the mass density is 2.01 kg/m and the tension in the cable is 3.00 × 104 N,what is the speed of transverse waves on the cable?

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A 100-m long transmission cable is suspended between two towers.If the mass density is 2.01 kg/m and the tension in the cable is 3.00 × 10⁴ N,what is the speed of transverse waves on the cable?