Question 1

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 is the direction of the vibration of the wave?

Accepted Answer

A)  the z direction 
B)  the y direction 
C)  the x direction 
A)  the z direction 
B)  the y direction 
C)  the x direction

Question 2

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

Question 3

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

Question 4

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 x).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)sin (20.0 m-1 x) 
D)  y(x,t)= +4.0 cm cos(1,200 rad/s)+ (20.0 m-1 x) 
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)sin (20.0 m-1 x) 
D)  y(x,t)= +4.0 cm cos(1,200 rad/s)+ (20.0 m-1 x)

Question 5

A wave is represented by the equation y(x,t) = 3.2 cm sin(1000 rad/s t - 50 m-1 x).Another wave is represented by the equation y(x,t) = 4.2cm sin(1000 rad/s t - 50 m-1 x).If the two waves interfere constructively,then what is equation that represents the coherent superposition of the two waves?

Accepted Answer

A)  y(x,t)= 7.4 cm sin(1000 rad/s t + 50.0 m-1 x) 
B)  y(x,t)= 1.0 cm sin(1000 rad/s t - 50.0 m-1 x) 
C)  y(x,t)= 1.0 cm sin(1000 rad/s t + 50.0 m-1 x) 
D)  y(x,t)= 7.4 cm sin(1000 rad/s t - 50.0 m-1 x) 
A)  y(x,t)= 7.4 cm sin(1000 rad/s t + 50.0 m-1 x) 
B)  y(x,t)= 1.0 cm sin(1000 rad/s t - 50.0 m-1 x) 
C)  y(x,t)= 1.0 cm sin(1000 rad/s t + 50.0 m-1 x) 
D)  y(x,t)= 7.4 cm sin(1000 rad/s t - 50.0 m-1 x)

Question 6

Visible light consists of electromagnetic waves with wavelengths (in air)in the range 400 - 700 nm.What are the frequencies of visible light?

Accepted Answer

A)  1.33 $\times$ 1014 Hz to 2.33 $\times$ 1014 Hz 
B)  1.33 $\times$ 1012 Hz to 2.33 $\times$ 1012 Hz 
C)  4.28 $\times$ 1012 Hz to 7.50 $\times$ 1012 Hz 
D)  4.28 $\times$ 1014 Hz to 7.50 $\times$ 1014 Hz 
A)  1.33 $\times$ 1014 Hz to 2.33 $\times$ 1014 Hz 
B)  1.33 $\times$ 1012 Hz to 2.33 $\times$ 1012 Hz 
C)  4.28 $\times$ 1012 Hz to 7.50 $\times$ 1012 Hz 
D)  4.28 $\times$ 1014 Hz to 7.50 $\times$ 1014 Hz

Question 7

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 is the k vector of the wave?

Accepted Answer

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

Question 8

A string is stretched with a tension of 120 N.The string has a length of 2.5 meters.The velocity of wave propagation along the string is 220 m/s.The mass per unit length of the string is

Accepted Answer

A)  5.8 $\times$ 10-3 kg/m. 
B)  5.0 $\times$ 10-3 kg/m. 
C)  4.2 $\times$  10-3 kg/m. 
D)  3.7 $\times$ 10-3 kg/m. 
E)  2.4 $\times$ 10-3 kg/m. 
A)  5.8 $\times$ 10-3 kg/m. 
B)  5.0 $\times$ 10-3 kg/m. 
C)  4.2 $\times$  10-3 kg/m. 
D)  3.7 $\times$ 10-3 kg/m. 
E)  2.4 $\times$ 10-3 kg/m.

Question 9

A sound source of 100 watts radiates sound uniformly in all directions.The intensity of the sound at a distance of 4.00 m is

Accepted Answer

A)  0.301 W/m2. 
B)  0.353 W/m2. 
C)  0.497 W/m2. 
D)  0.535 W/m2. 
E)  0.621 W/m2. 
A)  0.301 W/m2. 
B)  0.353 W/m2. 
C)  0.497 W/m2. 
D)  0.535 W/m2. 
E)  0.621 W/m2.

Question 10

A string with a length of 1.20 m has a mass of 4.00 gm.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. 
A)  162 N. 
B)  145 N. 
C)  130 N. 
D)  114 N. 
E)  102 N.

Question 11

A longitudinal wave travels on a slinky or any long spring.The wave is represented by the equation x(x,t) = 2.1 cm cos(2000 rad/s t - 40 m-1 x).What is the direction of the disturbance of the wave?

Accepted Answer

A)  the + y direction 
B)  the + z direction 
C)  the - x direction 
D)  the + x direction 
A)  the + y direction 
B)  the + z direction 
C)  the - x direction 
D)  the + x direction

Question 12

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

Question 13

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 0.00300 kg/m.The velocity of wave propagation on the string is

Accepted Answer

A)  175 m/s. 
B)  183 m/s. 
C)  205 m/s. 
D)  267 m/s. 
E)  300 m/s. 
A)  175 m/s. 
B)  183 m/s. 
C)  205 m/s. 
D)  267 m/s. 
E)  300 m/s.

Question 14

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

Accepted Answer

A)  y(x,t)= (A1+A2)sin($\omega$t)cos(kx)+ (+A1+A2)cos($\omega$t)sin(kx) 
B)  y(x,t)= (A1+A2)sin($\omega$t)cos(kx)+ (-A1-A2)cos($\omega$t)sin(kx) 
C)  y(x,t)= (A1-A2)sin($\omega$t)cos(kx)+ (-A1+A2)cos($\omega$t)sin(kx) 
D)  y(x,t)= (A1+A2)sin($\omega$t)cos(kx)+ (-A1+A2)cos($\omega$t)sin(kx) 
A)  y(x,t)= (A1+A2)sin($\omega$t)cos(kx)+ (+A1+A2)cos($\omega$t)sin(kx) 
B)  y(x,t)= (A1+A2)sin($\omega$t)cos(kx)+ (-A1-A2)cos($\omega$t)sin(kx) 
C)  y(x,t)= (A1-A2)sin($\omega$t)cos(kx)+ (-A1+A2)cos($\omega$t)sin(kx) 
D)  y(x,t)= (A1+A2)sin($\omega$t)cos(kx)+ (-A1+A2)cos($\omega$t)sin(kx)

Question 15

A pair of speakers emits coherent sound waves at a frequency of 440 Hz.A microphone is placed such that it is 1.0 m from one speaker on a line that is perpendicular to the line between the speakers.Which of the following distances reflects a possible distance between the speakers if there is complete destructive interference at the location of the microphone? The speed of sound is 340 m/s.

Accepted Answer

A)  1.0 m 
B)  0.77 m 
C)  2.16 m 
D)  1.3 m 
E)  1.77 m 
A)  1.0 m 
B)  0.77 m 
C)  2.16 m 
D)  1.3 m 
E)  1.77 m

Question 16

A sound source radiates sound uniformly in all directions.The intensity of the sound at a distance of 100 m is 1.00 $\times$ 10-4 W/m2.The power of the sound source is

Accepted Answer

A)  12.6 W. 
B)  16.2 W. 
C)  20.4 W. 
D)  24.5 W. 
E)  30.6 W. 
A)  12.6 W. 
B)  16.2 W. 
C)  20.4 W. 
D)  24.5 W. 
E)  30.6 W.

Question 17

A longitudinal wave travels on a slinky or any long spring.The wave is represented by the equation x(x,t) = 2.10 cm cos(2000 rad/s t + 40.0 m-1 x).What is the velocity of the wave?

Accepted Answer

A)  500 m/s in the + x direction 
B)  500 m/s in the - x direction 
C)  200 m/s in the + x direction 
D)  200 m/s in the - x direction 
A)  500 m/s in the + x direction 
B)  500 m/s in the - x direction 
C)  200 m/s in the + x direction 
D)  200 m/s in the - x direction

Question 18

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

Question 19

The wavelength of a periodic wave is 0.500 m.If the frequency is 400 Hz,then what is the magnitude of the k vector of the wave?

Accepted Answer

A)  12.6 m-1 
B)  14.8 m-1 
C)  18.4 m-1 
D)  21.0 m-1 
E)  25.9 m-1 
A)  12.6 m-1 
B)  14.8 m-1 
C)  18.4 m-1 
D)  21.0 m-1 
E)  25.9 m-1

Question 20

Standing waves are produced by the superposition of two waves with

Accepted Answer

A)  the same amplitude,frequency,and direction of propagation. 
B)  the same amplitude,frequency,and opposite direction of propagation. 
C)  the same amplitude,different frequencies,and opposite direction of propagation. 
D)  the same amplitude,different frequencies,and same direction of propagation. 
A)  the same amplitude,frequency,and direction of propagation. 
B)  the same amplitude,frequency,and opposite direction of propagation. 
C)  the same amplitude,different frequencies,and opposite direction of propagation. 
D)  the same amplitude,different frequencies,and same direction of propagation.

Exam 11: 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 is the direction of the vibration of the wave?

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 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 x).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 wave is represented by the equation y(x,t) = 3.2 cm sin(1000 rad/s t - 50 m-1 x).Another wave is represented by the equation y(x,t) = 4.2cm sin(1000 rad/s t - 50 m-1 x).If the two waves interfere constructively,then what is equation that represents the coherent superposition of the two waves?

Visible light consists of electromagnetic waves with wavelengths (in air)in the range 400 - 700 nm.What are the frequencies of visible light?

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 is the k vector of the wave?

A string is stretched with a tension of 120 N.The string has a length of 2.5 meters.The velocity of wave propagation along the string is 220 m/s.The mass per unit length of the string is

A sound source of 100 watts radiates sound uniformly in all directions.The intensity of the sound at a distance of 4.00 m is

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

A longitudinal wave travels on a slinky or any long spring.The wave is represented by the equation x(x,t) = 2.1 cm cos(2000 rad/s t - 40 m-1 x).What is the direction of the disturbance 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 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 0.00300 kg/m.The velocity of wave propagation on the string is

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

A sound source radiates sound uniformly in all directions.The intensity of the sound at a distance of 100 m is 1.00 ×\times× 10-4 W/m2.The power of the sound source is

A longitudinal wave travels on a slinky or any long spring.The wave is represented by the equation x(x,t) = 2.10 cm cos(2000 rad/s t + 40.0 m-1 x).What is the velocity 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?

The wavelength of a periodic wave is 0.500 m.If the frequency is 400 Hz,then what is the magnitude of the k vector of the wave?

Standing waves are produced by the superposition of two waves with

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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 is the direction of the vibration 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 x).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 wave is represented by the equation y(x,t) = 3.2 cm sin(1000 rad/s t - 50 m^-1 x).Another wave is represented by the equation y(x,t) = 4.2cm sin(1000 rad/s t - 50 m^-1 x).If the two waves interfere constructively,then what is equation that represents the coherent 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 is the k vector of the wave?

A longitudinal wave travels on a slinky or any long spring.The wave is represented by the equation x(x,t) = 2.1 cm cos(2000 rad/s t - 40 m^-1 x).What is the direction of the disturbance of the wave?

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

A sound source radiates sound uniformly in all directions.The intensity of the sound at a distance of 100 m is 1.00 $\times$ 10^-4 W/m².The power of the sound source is

A longitudinal wave travels on a slinky or any long spring.The wave is represented by the equation x(x,t) = 2.10 cm cos(2000 rad/s t + 40.0 m^-1 x).What is the velocity of the wave?