Question 1

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 C

Question 2

Exhibit 16-3
Four wave functions are given below.
I. y(x,t)= 5sin(4x - 20t + 4)
II. y(x,t)= 5sin(3x - 12t + 5)
III. y(x,t)= 5cos(4x + 24t + 6)
IV. y(x,t)= 14cos(2x - 8t + 3)
Use this exhibit to answer the following question.
-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 B

Question 3

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 D

Question 4

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

Question 5

An airplane traveling at half the speed of sound emits sound at a frequency of 5 000 Hz.At what frequency does a stationary listener hear the sound as the plane approaches,and after it passes by? Assume the airplane is not flying very high.

Accepted Answer

The answer of An airplane traveling at half the speed...

Question 6

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

Question 7

A car approaches a stationary police car at 36 m/s.The frequency of the siren (relative to the police car)is 500 Hz.What is the frequency (in Hz)heard by an observer in the moving car as he approaches the police car? (Assume the velocity of sound in air is 343 m/s. )

Accepted Answer

A)  220
B)  448
C)  526
D)  552
E)  383

Question 8

A truck moving at 36 m/s passes a police car moving at 45 m/s in the opposite direction.If the frequency of the siren relative to the police car is 500 Hz,what is the frequency heard by an observer in the truck as the police car approaches the truck? (The speed of sound in air is 343 m/s. )

Accepted Answer

A)  396
B)  636
C)  361
D)  393
E)  617

Question 9

If the breakers at a beach are separated by 5.0 m and hit shore with a frequency of 0.20 Hz,with what speed are they traveling?

Accepted Answer

The answer of If the breakers at a beach are...

Question 10

The variation in the pressure of helium gas,measured from its equilibrium value,is given by $\Delta$P = 2.9 *10 - 5 cos (6.20x - 3 000t)where x and t have units m and s.Determine the speed (in m/s)of the wave.

Accepted Answer

A)  1 515
B)  153
C)  484
D)  828
E)  101

Question 11

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.
-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)

Question 12

What is the expression for the transverse velocity of the wave in a string given by $y = A \sin ( k x - ? t )$ ?

Accepted Answer

A)    v=Acos⁡(kx−?t) v = A \cos ( k x - ? t ) v=Acos(kx−?t)  
B)    v=kAcos⁡(kx−?t) v = k A \cos ( k x - ?t ) v=kAcos(kx−?t)  
C)    ν=−kAcos⁡(kx−?t) 
u = - k A \cos ( k x - ? t ) ν=−kAcos(kx−?t)  
D)    ν=−?Acos⁡(kx−?t) 
u = - ? A \cos ( k x - ? t ) ν=−?Acos(kx−?t)  
E)    v=?Acos⁡(kx−?t) v = ? A \cos ( k x - ? t ) v=?Acos(kx−?t)

Question 13

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)    116\frac { 1 } { 16 }161​ 
B)    14\frac { 1 } { 4 }41​ 
C)    12\frac { 1 } { 2 }21​ 
D)  2
E)  4

Question 14

While you are sounding a tone on a toy whistle,you notice a friend running toward you.If you want her to hear the same frequency that you hear even though she is approaching,you must

Accepted Answer

A)  stay put.
B)  run towards her at the same speed.
C)  run away from her at the same speed.
D)  stay put and play a note of higher frequency.
E)  run towards her and play a note of higher frequency.

Question 15

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 wavelength is twice as large?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

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.
-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)

Question 17

A friend hands you an equation sheet with the following equation for the Doppler effect: $f ^ { \prime } = \frac { \left( v - v _ { 0 } \right) } { \left( v + v _ { s } \right) } f$ .This version of the equation is correct with signs as given only if

Accepted Answer

A)  the observer and source are approaching each other.
B)  the observer is approaching the source while the source is moving away from the observer.
C)  the observer is moving away from the source while the source is approaching the observer.
D)  the observer and source are moving away from each other.
E)  the observer and source are moving in perpendicular directions.

Question 18

Find the period of a wave of 100-m wavelength in deep water where $\nu = \sqrt { g \lambda / 2 \pi }$ .

Accepted Answer

A)  5.0 s
B)  8.0 s
C)  12.5 s
D)  15 s
E)  0.125 s

Question 19

Exhibit 16-3
Four wave functions are given below.
I. y(x,t)= 5sin(4x - 20t + 4)
II. y(x,t)= 5sin(3x - 12t + 5)
III. y(x,t)= 5cos(4x + 24t + 6)
IV. y(x,t)= 14cos(2x - 8t + 3)
Use this exhibit to answer the following question.
-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

Question 20

A bat,flying at 5.00 m/s,emits a chirp at 40.0 kHz.If this sound pulse is reflected by a wall,what is the frequency of the echo received by the bat? (v_sound = 340 m/s. )

Accepted Answer

The answer of A bat,flying at 5.00 m/s,emits a chirp...

Exam 13: Mechanical Waves

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?

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?

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?

An airplane traveling at half the speed of sound emits sound at a frequency of 5 000 Hz.At what frequency does a stationary listener hear the sound as the plane approaches,and after it passes by? Assume the airplane is not flying very high.

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

A car approaches a stationary police car at 36 m/s.The frequency of the siren (relative to the police car) is 500 Hz.What is the frequency (in Hz) heard by an observer in the moving car as he approaches the police car? (Assume the velocity of sound in air is 343 m/s. )

A truck moving at 36 m/s passes a police car moving at 45 m/s in the opposite direction.If the frequency of the siren relative to the police car is 500 Hz,what is the frequency heard by an observer in the truck as the police car approaches the truck? (The speed of sound in air is 343 m/s. )

If the breakers at a beach are separated by 5.0 m and hit shore with a frequency of 0.20 Hz,with what speed are they traveling?

The variation in the pressure of helium gas,measured from its equilibrium value,is given by $\Delta$ P = 2.9 *10 ^- ⁵ cos (6.20x - 3 000t) where x and t have units m and s.Determine the speed (in m/s) of the wave.

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. -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 $y = A \sin ( k x - ? t )$ ?

While you are sounding a tone on a toy whistle,you notice a friend running toward you.If you want her to hear the same frequency that you hear even though she is approaching,you must

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 wavelength is twice as large?

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. -Refer to Exhibit 16-1.Which of the graphs below shows a wave where the amplitude and the frequency are doubled?

A friend hands you an equation sheet with the following equation for the Doppler effect: $f ^ { \prime } = \frac { \left( v - v _ { 0 } \right) } { \left( v + v _ { s } \right) } f$ .This version of the equation is correct with signs as given only if

Find the period of a wave of 100-m wavelength in deep water where $\nu = \sqrt { g \lambda / 2 \pi }$ .

A bat,flying at 5.00 m/s,emits a chirp at 40.0 kHz.If this sound pulse is reflected by a wall,what is the frequency of the echo received by the bat? (v_sound = 340 m/s. )

Exam 13: Mechanical Waves

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?

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?

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?

An airplane traveling at half the speed of sound emits sound at a frequency of 5 000 Hz.At what frequency does a stationary listener hear the sound as the plane approaches,and after it passes by? Assume the airplane is not flying very high.

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

A car approaches a stationary police car at 36 m/s.The frequency of the siren (relative to the police car) is 500 Hz.What is the frequency (in Hz) heard by an observer in the moving car as he approaches the police car? (Assume the velocity of sound in air is 343 m/s. )

A truck moving at 36 m/s passes a police car moving at 45 m/s in the opposite direction.If the frequency of the siren relative to the police car is 500 Hz,what is the frequency heard by an observer in the truck as the police car approaches the truck? (The speed of sound in air is 343 m/s. )

If the breakers at a beach are separated by 5.0 m and hit shore with a frequency of 0.20 Hz,with what speed are they traveling?

The variation in the pressure of helium gas,measured from its equilibrium value,is given by Δ\DeltaΔ P = 2.9 *10 - 5 cos (6.20x - 3 000t) where x and t have units m and s.Determine the speed (in m/s) of the wave.

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. -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 y=Asin⁡(kx−?t) y = A \sin ( k x - ? t ) y=Asin(kx−?t) ?

While you are sounding a tone on a toy whistle,you notice a friend running toward you.If you want her to hear the same frequency that you hear even though she is approaching,you must

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 wavelength is twice as large?

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. -Refer to Exhibit 16-1.Which of the graphs below shows a wave where the amplitude and the frequency are doubled?

Find the period of a wave of 100-m wavelength in deep water where ν=gλ/2π\nu = \sqrt { g \lambda / 2 \pi }ν=gλ/2π​ .

A bat,flying at 5.00 m/s,emits a chirp at 40.0 kHz.If this sound pulse is reflected by a wall,what is the frequency of the echo received by the bat? (vsound = 340 m/s. )

The variation in the pressure of helium gas,measured from its equilibrium value,is given by $\Delta$ P = 2.9 *10 ^- ⁵ cos (6.20x - 3 000t) where x and t have units m and s.Determine the speed (in m/s) of the wave.

What is the expression for the transverse velocity of the wave in a string given by $y = A \sin ( k x - ? t )$ ?

Find the period of a wave of 100-m wavelength in deep water where $\nu = \sqrt { g \lambda / 2 \pi }$ .

A bat,flying at 5.00 m/s,emits a chirp at 40.0 kHz.If this sound pulse is reflected by a wall,what is the frequency of the echo received by the bat? (v_sound = 340 m/s. )