Question 1

A transverse periodic wave is represented by the equation z(y,t) = 1.50 cm sin(1,250 rad/s t + 10.0 m-1 y).What is the direction of the velocity of the wave?

Accepted Answer

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

Question 2

A wave is traveling with a velocity of 350 m/s and strikes a surface at an angle of 30.0 degrees with the normal to the surface.The wave splits into a reflected part and a refracted part.The refracted wave travels with a velocity of 300 m/s.What is the angle of refraction?

Accepted Answer

A)  50.4 degrees 
B)  45.2 degrees 
C)  40.4 degrees 
D)  38.4 degrees 
E)  25.4 degrees 
A)  50.4 degrees 
B)  45.2 degrees 
C)  40.4 degrees 
D)  38.4 degrees 
E)  25.4 degrees

Question 3

A transverse periodic wave is represented by the equation z(y,t) = 1.50 cm sin(1,250 rad/s t + 10.0 m-1 y).What is the k vector of the wave?

Accepted Answer

A)  10 m-1 in the + y direction 
B)  10 m-1 in the - y direction 
C)  20 m-1 in the + z direction 
D)  20 m-1 in the - z direction 
E)  10 m-1 in the - z direction 
A)  10 m-1 in the + y direction 
B)  10 m-1 in the - y direction 
C)  20 m-1 in the + z direction 
D)  20 m-1 in the - z direction 
E)  10 m-1 in the - z direction

Question 4

A string with a mass/length of 0.00200 kg/m is stretched between two points with a tension of 115 N.If the distance between the points is changed by 1.0%,then what is the percentage change of the frequency?

Accepted Answer

A)  0.50% 
B)  0.75% 
C)  1.00% 
D)  1.25% 
E)  1.50% 
A)  0.50% 
B)  0.75% 
C)  1.00% 
D)  1.25% 
E)  1.50%

Question 5

A guitar string has a tension of 95 N on it and is 75 cm long.If its mass is 0.27 g,what is the frequency of the first harmonic above the fundamental?

Accepted Answer

A)  685 Hz 
B)  69 Hz 
C)  217 Hz 
D)  470 kHz 
A)  685 Hz 
B)  69 Hz 
C)  217 Hz 
D)  470 kHz

Question 6

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 velocity of the wave?

Accepted Answer

A)  450 m/s in the - y direction 
B)  333 m/s in the + y direction 
C)  333 m/s in the + x direction 
D)  167 m/s in the - x direction 
E)  167 m/s in the + x direction 
A)  450 m/s in the - y direction 
B)  333 m/s in the + y direction 
C)  333 m/s in the + x direction 
D)  167 m/s in the - x direction 
E)  167 m/s in the + x direction

Question 7

What is the mass of a 1.25 m long piano wire that has a fundamental frequency of 256 Hz when under a tension of 138 N?

Accepted Answer

A)  6.4 g 
B)  1.7 g 
C)  3.4 g 
D)  41 g 
E)  4.1 g 
A)  6.4 g 
B)  1.7 g 
C)  3.4 g 
D)  41 g 
E)  4.1 g

Question 8

A transverse periodic wave is represented by the equation z(y,t) = 1.50 cm sin(1,250 rad/s t + 10.0 m-1 y).What is the direction of the vibration of the wave?

Accepted Answer

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

Question 9

What is the frequency of the wave?

Accepted Answer

A)  80 Hz 
B)  50 Hz 
C)  120 Hz 
D)  140 Hz 
E)  160 Hz 
A)  80 Hz 
B)  50 Hz 
C)  120 Hz 
D)  140 Hz 
E)  160 Hz

Question 10

A string on a violin is stretched between two points 20.0 cm apart with a tension of 120 N.The mass/length of the string is 0.00200 kg/m.The frequency of the mode of vibration with the lowest frequency is

Accepted Answer

A)  502 Hz. 
B)  550 Hz. 
C)  598 Hz. 
D)  612 Hz. 
E)  750 Hz. 
A)  502 Hz. 
B)  550 Hz. 
C)  598 Hz. 
D)  612 Hz. 
E)  750 Hz.

Question 11

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 440 Hz,then what is the distance between the two points?

Accepted Answer

A)  17.5 cm 
B)  20.3 cm 
C)  27.8 cm 
D)  30.0 cm 
E)  35.0 cm 
A)  17.5 cm 
B)  20.3 cm 
C)  27.8 cm 
D)  30.0 cm 
E)  35.0 cm

Question 12

When light travelling in air passes into a sheet of glass,it is observed to change in wavelength to 58% of its wavelength in air.What is the speed of light in the glass?

Accepted Answer

A)  5.2 $\times$ 108 m/s 
B)  1.7 $\times$ 108 m/s 
C)  3.0 $\times$ 108 m/s 
D)  2.3 $\times$ 108 m/s 
A)  5.2 $\times$ 108 m/s 
B)  1.7 $\times$ 108 m/s 
C)  3.0 $\times$ 108 m/s 
D)  2.3 $\times$ 108 m/s

Question 13

A transverse periodic wave is represented by the equation y(x,t) = 1.50 cm sin(1,500 rad/s t - 10.0 m-1 x).Another transverse wave is represented by the equation y(x,t) = 1.50 cm sin(1,500 rad/s t - 10.0 m-1 x).What is the equation that represents the superposition of the two waves?

Accepted Answer

A)  y(x,t)= 3.0 cm sin(1,500 rad/s t - 10.0 m-1 x) 
B)  y(x,t)= 3.0 cm sin(1,500 rad/s t)cos(10.0 m-1 x) 
C)  y(x,t)= +3.0 cm cos(1,500 rad/s t)sin(10.0 m-1 x) 
D)  y(x,t)= 3.0 cm sin(1,500 rad/s t + 10.0 m-1 x) 
A)  y(x,t)= 3.0 cm sin(1,500 rad/s t - 10.0 m-1 x) 
B)  y(x,t)= 3.0 cm sin(1,500 rad/s t)cos(10.0 m-1 x) 
C)  y(x,t)= +3.0 cm cos(1,500 rad/s t)sin(10.0 m-1 x) 
D)  y(x,t)= 3.0 cm sin(1,500 rad/s t + 10.0 m-1 x)

Question 14

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) = 4.2 cm sin(1000 rad/s t - 50 m-1 x).If the two waves interfere destructively,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 15

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 velocity of the wave?

Accepted Answer

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

Question 16

A string with a length of 2.50 m has a mass of 5.00 gm.The velocity of wave propagation along the string is 210 m/s.The tension of the stretched string is

Accepted Answer

A)  88.2 N. 
B)  75.0 N. 
C)  70.2 N. 
D)  66.7 N. 
E)  60.2 N. 
A)  88.2 N. 
B)  75.0 N. 
C)  70.2 N. 
D)  66.7 N. 
E)  60.2 N.

Question 17

The wavelength of a periodic wave is 0.800 m.If the frequency is 400 Hz,then what is the magnitude of the k vector of the wave?

Accepted Answer

A)  8.56 m-1 
B)  7.85 m-1 
C)  7.02 m-1 
D)  6.35 m-1 
E)  5.98 m-1 
A)  8.56 m-1 
B)  7.85 m-1 
C)  7.02 m-1 
D)  6.35 m-1 
E)  5.98 m-1

Question 18

The wavelength of a periodic wave is 0.750 m.If the frequency is 425 Hz,then what is the angular frequency,$\omega$,of the wave?

Accepted Answer

A)  5.44 $\times$ 103 rad/s 
B)  5.03 $\times$ 103 rad/s 
C)  4.21 $\times$ 103 rad/s 
D)  3.76 $\times$ 103 rad/s 
E)  2.67 $\times$ 103 rad/s 
A)  5.44 $\times$ 103 rad/s 
B)  5.03 $\times$ 103 rad/s 
C)  4.21 $\times$ 103 rad/s 
D)  3.76 $\times$ 103 rad/s 
E)  2.67 $\times$ 103 rad/s

Question 19

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 
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 20

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 frequency of the mode of vibration with the lowest frequency is

Accepted Answer

A)  304 Hz. 
B)  350 Hz. 
C)  376 Hz. 
D)  415 Hz. 
E)  433 Hz. 
A)  304 Hz. 
B)  350 Hz. 
C)  376 Hz. 
D)  415 Hz. 
E)  433 Hz.

Exam 11: Waves

A transverse periodic wave is represented by the equation z(y,t) = 1.50 cm sin(1,250 rad/s t + 10.0 m-1 y).What is the direction of the velocity of the wave?

A wave is traveling with a velocity of 350 m/s and strikes a surface at an angle of 30.0 degrees with the normal to the surface.The wave splits into a reflected part and a refracted part.The refracted wave travels with a velocity of 300 m/s.What is the angle of refraction?

A transverse periodic wave is represented by the equation z(y,t) = 1.50 cm sin(1,250 rad/s t + 10.0 m-1 y).What is the k vector of the wave?

A string with a mass/length of 0.00200 kg/m is stretched between two points with a tension of 115 N.If the distance between the points is changed by 1.0%,then what is the percentage change of the frequency?

A guitar string has a tension of 95 N on it and is 75 cm long.If its mass is 0.27 g,what is the frequency of the first harmonic above the fundamental?

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 velocity of the wave?

What is the mass of a 1.25 m long piano wire that has a fundamental frequency of 256 Hz when under a tension of 138 N?

A transverse periodic wave is represented by the equation z(y,t) = 1.50 cm sin(1,250 rad/s t + 10.0 m-1 y).What is the direction of the vibration of the wave?

What is the frequency of the wave?

A string on a violin is stretched between two points 20.0 cm apart with a tension of 120 N.The mass/length of the string is 0.00200 kg/m.The frequency of the mode of vibration with the lowest frequency is

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 440 Hz,then what is the distance between the two points?

When light travelling in air passes into a sheet of glass,it is observed to change in wavelength to 58% of its wavelength in air.What is the speed of light in the glass?

A transverse periodic wave is represented by the equation y(x,t) = 1.50 cm sin(1,500 rad/s t - 10.0 m-1 x).Another transverse wave is represented by the equation y(x,t) = 1.50 cm sin(1,500 rad/s t - 10.0 m-1 x).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) = 4.2 cm sin(1000 rad/s t - 50 m-1 x).If the two waves interfere destructively,then what is equation that represents the coherent superposition of the two waves?

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 velocity of the wave?

A string with a length of 2.50 m has a mass of 5.00 gm.The velocity of wave propagation along the string is 210 m/s.The tension of the stretched string is

The wavelength of a periodic wave is 0.800 m.If the frequency is 400 Hz,then what is the magnitude of the k vector of the wave?

The wavelength of a periodic wave is 0.750 m.If the frequency is 425 Hz,then what is the angular frequency, ω\omegaω ,of the wave?

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

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 frequency of the mode of vibration with the lowest frequency is

Introduction

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Filters

A transverse periodic wave is represented by the equation z(y,t) = 1.50 cm sin(1,250 rad/s t + 10.0 m^-1 y).What is the direction of the velocity of the wave?

A transverse periodic wave is represented by the equation z(y,t) = 1.50 cm sin(1,250 rad/s t + 10.0 m^-1 y).What is the k vector of the wave?

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 velocity of the wave?

A transverse periodic wave is represented by the equation z(y,t) = 1.50 cm sin(1,250 rad/s t + 10.0 m^-1 y).What is the direction of the vibration of the wave?

A transverse periodic wave is represented by the equation y(x,t) = 1.50 cm sin(1,500 rad/s t - 10.0 m^-1 x).Another transverse wave is represented by the equation y(x,t) = 1.50 cm sin(1,500 rad/s t - 10.0 m^-1 x).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) = 4.2 cm sin(1000 rad/s t - 50 m^-1 x).If the two waves interfere destructively,then what is equation that represents the coherent superposition of the two waves?

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 velocity of the wave?

The wavelength of a periodic wave is 0.750 m.If the frequency is 425 Hz,then what is the angular frequency, $\omega$ ,of the wave?