Question 1

A string on a guitar is stretched between two points 35.0 cm apart with a tension of 65.0 N. The mass/length of the string is 0.00400 kg/m. The wavelength of the mode of vibration with the lowest frequency is

Accepted Answer

A)   0.5 m.
B)   0.6 m.
C)   0.7 m.
D)   0.8 m.
E)   0.9 m. C

Question 2

Two strings on a violin are stretched between two points 20.0 cm apart. The mass per length of the strings are the same. If the ratio of the frequencies of the fundamental modes is 1.5 to 1.0, then what is the ratio of the tensions in the strings?

Accepted Answer

A)   1.22
B)   1.88
C)   1.00
D)   2.25
E)   1.50 D

Question 3

A transverse periodic wave is represented by the equation y(x, t) = 2.50 cm cos(2,500 rad/s t − 15.0 m−1 x). What are the wavenumber k and direction of propagation of the wave?

Accepted Answer

A)   15.0 m−1; traveling in the − x direction
B)   15.0 m−1; traveling in the + x direction
C)   30.0 m−1; traveling in the + y direction
D)   30.0 m−1; traveling in the − y direction
E)   45.0 m−1; traveling in the + x direction B

Question 4

A transverse wave travels at 190 m/s along the x-axis. If the period of the periodic vibrations of the wave is 2.6 milliseconds, then what is the wavelength of the wave?

Accepted Answer

A)   25.5 cm
B)   35.4 cm
C)   49.4 cm
D)   50.3 cm
E)   54.4 cm

Question 5

A string is stretched with a tension of 120 N. The string has a mass of 10.0 grams and has a length of 2.50 meters. The velocity of wave propagation along the string is

Accepted Answer

A)   125 m/s.
B)   142 m/s.
C)   173 m/s.
D)   185 m/s.
E)   217 m/s.

Question 6

A wave travels at 175 m/s along the x-axis. If the period of the periodic vibrations of the wave is 3.00 milliseconds, then what is the wavelength of the wave?

Accepted Answer

A)   25.5 cm
B)   35.6 cm
C)   42.9 cm
D)   49.5 cm
E)   52.5 cm

Question 7

A transverse periodic wave is represented by the equation y(x, t) = A1 sin(ωt − kx). Another transverse wave is represented by the equation y(x, t) = A2 sin(ωt + kx). What is the equation that represents the superposition of the two waves?

Accepted Answer

A)   y(x, t)  = (A1 + A2)  sin(ωt)  cos(kx)  + (+A1 + A2)  cos(ωt)  sin(kx) 
B)   y(x, t)  = (A1 + A2)  sin(ωt)  cos(kx)  + (−A1 − A2)  cos(ωt)  sin(kx) 
C)   y(x, t)  = (A1 − A2)  sin(ωt)  cos(kx)  + (−A1 + A2)  cos(ωt)  sin(kx) 
D)   y(x, t)  = (A1 + A2)  sin(ωt)  cos(kx)  + (−A1 + A2)  cos(ωt)  sin(kx)

Question 8

A string with a mass/length of 0.00200 kg/m is stretched between two points with a tension of 120 N. If the fundamental frequency is 660 Hz, then what is the distance between the two points?

Accepted Answer

A)   17.5 cm
B)   18.6 cm
C)   20.3 cm
D)   26.7 cm
E)   30.0 cm

Question 9

A string with a mass per length of 2.00 g/m is stretched between two points that are 0.400 m apart. The frequency of the second mode of the stretched string is 50.0 Hz lower than the frequency of the third mode. What is the tension in the string?

Accepted Answer

A)   281 N
B)   101 N
C)   3.20 N
D)   2.26 N
E)   1.60 N

Question 10

A string on a guitar is stretched between two points 30.0 cm apart with a tension of 100 N. The mass/length of the string is 0.003 kg/m. The wavelength of the mode of vibration with the lowest frequency is

Accepted Answer

A)   0.3 m.
B)   0.4 m.
C)   0.5 m.
D)   0.6 m.
E)   0.7 m.

Question 11

A transverse periodic wave is represented by the equation y(z, t) = 2.0 cm sin(1,200 rad/s t − 20.0 m−1 z). Another transverse wave is represented by the equation y(z, t) = 2.0 cm sin(1,200 rad/s t + 20.0 m−1 z). What is the equation that represents the superposition of the two waves?

Accepted Answer

A)   y(z, t)  = 4.0 cm sin(1,200 rad/s t − 20.0 m−1 z) 
B)   y(x, t)  = 4.0 cm sin(1,200 rad/s t)  cos(20.0 m−1 x) 
C)   y(x, t)  = 4.0 cm cos(1,200 rad/s t)  sin(20.0 m−1 x) 
D)   y(x, t)  = 4.0 cm cos(1,200 rad/s t + 20.0 m−1 x)

Question 12

The speed of waves in stretched string depends on which of the following?

Accepted Answer

A)   the tension in the string
B)   the amplitude of the waves
C)   the wavelength of the waves
D)   the frequency of the waves

Question 13

A string on a violin is stretched between two points 20.00 cm apart with a tension of 120.0 N. The mass/length of the string is 0.002000 kg/m. The frequency of the 2nd overtone is

Accepted Answer

A)   1,502 Hz.
B)   1,837 Hz.
C)   2,237 Hz.
D)   2,568 Hz.
E)   3,250 Hz.

Question 14

A string with a length of 1.20 m has a mass of 4.00 g. The velocity of wave propagation along the string is 185 m/s. The tension of the stretched string is

Accepted Answer

A)   162 N.
B)   145 N.
C)   130 N.
D)   114 N.
E)   102 N.

Question 15

Two guitar strings are under the same tension and have the same length. If their fundamental frequencies are in a ratio of 3:2, what is the ratio of their masses?

Accepted Answer

A)   3/2
B)   2/3
C)   9/4
D)   4/9

Question 16

Two speakers emit incoherent sound waves into the open air. One of them produces 75W of power. A microphone is placed at a position that is 12m from each speakers, and it receives a total intensity of 0.25W/m2. What is the power output of the second speaker?

Accepted Answer

A)   151 W
B)   377 W
C)   Need more info to solve.
D)   38 W

Question 17

Two speakers are driven exactly out of phase with each other at 256 Hz. If a microphone placed on the line between the two speakers, exactly in the middle, detects no sound at all, then what is possibly the distance between the microphone and each speaker? The speed of sound is 340 m/s.

Accepted Answer

A)   0.75 m
B)   0.38 m
C)   Can be any distance at all
D)   1.50 m
E)   0.94 m

Question 18

A string with a mass per length of 2.00 g/m is stretched between two points that are 0.400 m apart. The frequency of the third mode of the stretched string is 20.0 Hz lower than the frequency of the fourth mode. What is the tension in the string?

Accepted Answer

A)   180 N
B)   64.8 N
C)   2.05 N
D)   1.45 N
E)   0.064 N

Question 19

A sound source of power 150 watts radiates sound uniformly in all directions. The intensity of the sound at a distance of 4.00 m is

Accepted Answer

A)   0.389 W/m2.
B)   0.403 W/m2.
C)   0.582 W/m2.
D)   0.746 W/m2.
E)   0.927 W/m2.

Question 20

A longitudinal wave is represented by the equation z(z, t) = −2.0 cm sin(1,200 rad/s t − 20 m−1 z). Another longitudinal wave is represented by the equation z(z, t) = +2.0 cm sin(1,200 rad/s t + 20 m−1 z). What is the equation that represents the superposition of the two waves?

Accepted Answer

A)   z(z, t)  = -4.0 cm cos(1,200 rad/s t)  sin(20 m−1 z) 
B)   z(z, t)  = +4.0 cm cos(1,200 rad/s t)  sin(20 m−1 z) 
C)   z(z, t)  = +4.0 cm cos(1,200 rad/s t)  cos(20 m−1 z) 
D)   z(z, t)  = −2.0 cm cos(1,200 rad/s t)  sin(20 m−1 z)

Exam 11: Waves

A string on a guitar is stretched between two points 35.0 cm apart with a tension of 65.0 N. The mass/length of the string is 0.00400 kg/m. The wavelength of the mode of vibration with the lowest frequency is

Two strings on a violin are stretched between two points 20.0 cm apart. The mass per length of the strings are the same. If the ratio of the frequencies of the fundamental modes is 1.5 to 1.0, then what is the ratio of the tensions in the strings?

A transverse periodic wave is represented by the equation y(x, t) = 2.50 cm cos(2,500 rad/s t − 15.0 m⁻¹ x) . What are the wavenumber k and direction of propagation of the wave?

A transverse wave travels at 190 m/s along the x-axis. If the period of the periodic vibrations of the wave is 2.6 milliseconds, then what is the wavelength of the wave?

A string is stretched with a tension of 120 N. The string has a mass of 10.0 grams and has a length of 2.50 meters. The velocity of wave propagation along the string is

A wave travels at 175 m/s along the x-axis. If the period of the periodic vibrations of the wave is 3.00 milliseconds, then what is the wavelength of the wave?

A transverse periodic wave is represented by the equation y(x, t) = A1 sin(ωt − kx) . Another transverse wave is represented by the equation y(x, t) = A2 sin(ωt + kx) . What is the equation that represents the superposition of the two waves?

A string with a mass/length of 0.00200 kg/m is stretched between two points with a tension of 120 N. If the fundamental frequency is 660 Hz, then what is the distance between the two points?

A string with a mass per length of 2.00 g/m is stretched between two points that are 0.400 m apart. The frequency of the second mode of the stretched string is 50.0 Hz lower than the frequency of the third mode. What is the tension in the string?

A string on a guitar is stretched between two points 30.0 cm apart with a tension of 100 N. The mass/length of the string is 0.003 kg/m. The wavelength of the mode of vibration with the lowest frequency is

A transverse periodic wave is represented by the equation y(z, t) = 2.0 cm sin(1,200 rad/s t − 20.0 m⁻¹ z) . Another transverse wave is represented by the equation y(z, t) = 2.0 cm sin(1,200 rad/s t + 20.0 m⁻¹ z) . What is the equation that represents the superposition of the two waves?

The speed of waves in stretched string depends on which of the following?

A string on a violin is stretched between two points 20.00 cm apart with a tension of 120.0 N. The mass/length of the string is 0.002000 kg/m. The frequency of the 2^nd overtone is

A string with a length of 1.20 m has a mass of 4.00 g. The velocity of wave propagation along the string is 185 m/s. The tension of the stretched string is

Two guitar strings are under the same tension and have the same length. If their fundamental frequencies are in a ratio of 3:2, what is the ratio of their masses?

Two speakers emit incoherent sound waves into the open air. One of them produces 75W of power. A microphone is placed at a position that is 12m from each speakers, and it receives a total intensity of 0.25W/m². What is the power output of the second speaker?

Two speakers are driven exactly out of phase with each other at 256 Hz. If a microphone placed on the line between the two speakers, exactly in the middle, detects no sound at all, then what is possibly the distance between the microphone and each speaker? The speed of sound is 340 m/s.

A string with a mass per length of 2.00 g/m is stretched between two points that are 0.400 m apart. The frequency of the third mode of the stretched string is 20.0 Hz lower than the frequency of the fourth mode. What is the tension in the string?

A sound source of power 150 watts radiates sound uniformly in all directions. The intensity of the sound at a distance of 4.00 m is

A longitudinal wave is represented by the equation z(z, t) = −2.0 cm sin(1,200 rad/s t − 20 m⁻¹ z) . Another longitudinal wave is represented by the equation z(z, t) = +2.0 cm sin(1,200 rad/s t + 20 m⁻¹ z) . What is the equation that represents the superposition of the two waves?

Exam 11: Waves

A string on a guitar is stretched between two points 35.0 cm apart with a tension of 65.0 N. The mass/length of the string is 0.00400 kg/m. The wavelength of the mode of vibration with the lowest frequency is

Two strings on a violin are stretched between two points 20.0 cm apart. The mass per length of the strings are the same. If the ratio of the frequencies of the fundamental modes is 1.5 to 1.0, then what is the ratio of the tensions in the strings?

A transverse periodic wave is represented by the equation y(x, t) = 2.50 cm cos(2,500 rad/s t − 15.0 m−1 x) . What are the wavenumber k and direction of propagation of the wave?

A transverse wave travels at 190 m/s along the x-axis. If the period of the periodic vibrations of the wave is 2.6 milliseconds, then what is the wavelength of the wave?

A string is stretched with a tension of 120 N. The string has a mass of 10.0 grams and has a length of 2.50 meters. The velocity of wave propagation along the string is

A wave travels at 175 m/s along the x-axis. If the period of the periodic vibrations of the wave is 3.00 milliseconds, then what is the wavelength of the wave?

A transverse periodic wave is represented by the equation y(x, t) = A1 sin(ωt − kx) . Another transverse wave is represented by the equation y(x, t) = A2 sin(ωt + kx) . What is the equation that represents the superposition of the two waves?

A string with a mass/length of 0.00200 kg/m is stretched between two points with a tension of 120 N. If the fundamental frequency is 660 Hz, then what is the distance between the two points?

A string with a mass per length of 2.00 g/m is stretched between two points that are 0.400 m apart. The frequency of the second mode of the stretched string is 50.0 Hz lower than the frequency of the third mode. What is the tension in the string?

A string on a guitar is stretched between two points 30.0 cm apart with a tension of 100 N. The mass/length of the string is 0.003 kg/m. The wavelength of the mode of vibration with the lowest frequency is

A transverse periodic wave is represented by the equation y(z, t) = 2.0 cm sin(1,200 rad/s t − 20.0 m−1 z) . Another transverse wave is represented by the equation y(z, t) = 2.0 cm sin(1,200 rad/s t + 20.0 m−1 z) . What is the equation that represents the superposition of the two waves?

The speed of waves in stretched string depends on which of the following?

A string on a violin is stretched between two points 20.00 cm apart with a tension of 120.0 N. The mass/length of the string is 0.002000 kg/m. The frequency of the 2nd overtone is

A string with a length of 1.20 m has a mass of 4.00 g. The velocity of wave propagation along the string is 185 m/s. The tension of the stretched string is

Two guitar strings are under the same tension and have the same length. If their fundamental frequencies are in a ratio of 3:2, what is the ratio of their masses?

Two speakers emit incoherent sound waves into the open air. One of them produces 75W of power. A microphone is placed at a position that is 12m from each speakers, and it receives a total intensity of 0.25W/m2. What is the power output of the second speaker?

Two speakers are driven exactly out of phase with each other at 256 Hz. If a microphone placed on the line between the two speakers, exactly in the middle, detects no sound at all, then what is possibly the distance between the microphone and each speaker? The speed of sound is 340 m/s.

A string with a mass per length of 2.00 g/m is stretched between two points that are 0.400 m apart. The frequency of the third mode of the stretched string is 20.0 Hz lower than the frequency of the fourth mode. What is the tension in the string?

A sound source of power 150 watts radiates sound uniformly in all directions. The intensity of the sound at a distance of 4.00 m is

A longitudinal wave is represented by the equation z(z, t) = −2.0 cm sin(1,200 rad/s t − 20 m−1 z) . Another longitudinal wave is represented by the equation z(z, t) = +2.0 cm sin(1,200 rad/s t + 20 m−1 z) . What is the equation that represents the superposition of the two waves?

A transverse periodic wave is represented by the equation y(x, t) = 2.50 cm cos(2,500 rad/s t − 15.0 m⁻¹ x) . What are the wavenumber k and direction of propagation of the wave?

A transverse periodic wave is represented by the equation y(z, t) = 2.0 cm sin(1,200 rad/s t − 20.0 m⁻¹ z) . Another transverse wave is represented by the equation y(z, t) = 2.0 cm sin(1,200 rad/s t + 20.0 m⁻¹ z) . What is the equation that represents the superposition of the two waves?

A string on a violin is stretched between two points 20.00 cm apart with a tension of 120.0 N. The mass/length of the string is 0.002000 kg/m. The frequency of the 2^nd overtone is

Two speakers emit incoherent sound waves into the open air. One of them produces 75W of power. A microphone is placed at a position that is 12m from each speakers, and it receives a total intensity of 0.25W/m². What is the power output of the second speaker?

A longitudinal wave is represented by the equation z(z, t) = −2.0 cm sin(1,200 rad/s t − 20 m⁻¹ z) . Another longitudinal wave is represented by the equation z(z, t) = +2.0 cm sin(1,200 rad/s t + 20 m⁻¹ z) . What is the equation that represents the superposition of the two waves?