Question 1

The period of a periodic wave is 2.80 milliseconds.The frequency of the vibration motion of the wave is

Accepted Answer

A)  450 Hz. 
B)  437 Hz. 
C)  402 Hz. 
D)  357 Hz. 
E)  306 Hz. 
A)  450 Hz. 
B)  437 Hz. 
C)  402 Hz. 
D)  357 Hz. 
E)  306 Hz. D

Question 2

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

Question 3

A longitudinal wave travels on a slinky or any long spring.The wave is represented by the equation z(z,t) = 1.2 cm cos(1800 rad/s t + 60 m-1 z).What is the wave vector of the wave?

Accepted Answer

A)  60 m-1 in the + z direction 
B)  60 m-1 in the - z direction 
C)  60 m-1 in the + x direction 
D)  60 m-1 in the - x direction 
A)  60 m-1 in the + z direction 
B)  60 m-1 in the - z direction 
C)  60 m-1 in the + x direction 
D)  60 m-1 in the - x direction B

Question 4

The wavelength of a periodic wave is 0.750 m.If the frequency is 425 Hz,then what is the velocity of the wave?

Accepted Answer

A)  210 m/s 
B)  276 m/s 
C)  319 m/s 
D)  410 m/s 
E)  472 m/s 
A)  210 m/s 
B)  276 m/s 
C)  319 m/s 
D)  410 m/s 
E)  472 m/s

Question 5

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 velocity of wave propagation on the string is

Accepted Answer

A)  128 m/s. 
B)  198 m/s. 
C)  210 m/s. 
D)  273 m/s. 
E)  305 m/s. 
A)  128 m/s. 
B)  198 m/s. 
C)  210 m/s. 
D)  273 m/s. 
E)  305 m/s.

Question 6

The wavelength of a periodic wave is 0.750 m.If the frequency is 365 Hz,then what is the angular frequency,$\omega$,of the wave?

Accepted Answer

A)  3.87 $\times$ 103 rad/s 
B)  3.10 $\times$ 103 rad/s 
C)  2.98 $\times$ 103 rad/s 
D)  2.29 $\times$ 103 rad/s 
E)  1.75 $\times$ 103 rad/s 
A)  3.87 $\times$ 103 rad/s 
B)  3.10 $\times$ 103 rad/s 
C)  2.98 $\times$ 103 rad/s 
D)  2.29 $\times$ 103 rad/s 
E)  1.75 $\times$ 103 rad/s

Question 7

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)  1.75 
B)  1.88 
C)  1.00 
D)  1.25 
E)  1.50 
A)  1.75 
B)  1.88 
C)  1.00 
D)  1.25 
E)  1.50

Question 8

A string is stretched with a tension of 100 N.The string has a length of 2.00 meters.The velocity of wave propagation along the string is 220 m/s.The mass of the string is

Accepted Answer

A)  3.75 gm. 
B)  4.13 gm. 
C)  4.66 gm. 
D)  5.21 gm. 
E)  5.74 gm. 
A)  3.75 gm. 
B)  4.13 gm. 
C)  4.66 gm. 
D)  5.21 gm. 
E)  5.74 gm.

Question 9

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 frequency of the vibration of the wave?

Accepted Answer

A)  490 Hz 
B)  467 Hz 
C)  422 Hz 
D)  398 Hz 
E)  302 Hz 
A)  490 Hz 
B)  467 Hz 
C)  422 Hz 
D)  398 Hz 
E)  302 Hz

Question 10

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 velocity of the wave?

Accepted Answer

A)  125 m/s in the + z direction 
B)  250 m/s in the - z direction 
C)  125 m/s in the + y direction 
D)  125 m/s in the - y direction 
E)  250 m/s in the - y direction 
A)  125 m/s in the + z direction 
B)  250 m/s in the - z direction 
C)  125 m/s in the + y direction 
D)  125 m/s in the - y direction 
E)  250 m/s in the - y direction

Question 11

A guitar string is supposed to be played with a fundamental frequency of 880 Hz.If it is determined to have,instead,a fundamental frequency of 882 Hz,by what amount (as a percentage)must the tension in the string be changed in order that the fundamental frequency be restored to 880 Hz?

Accepted Answer

A)  -0.45% 
B)  +0.45% 
C)  -0.11% 
D)  -0.23% 
A)  -0.45% 
B)  +0.45% 
C)  -0.11% 
D)  -0.23%

Question 12

What is the distance between a node and an antinode?

Accepted Answer

A)  wavelength/1 
B)  wavelength/2 
C)  wavelength/3 
D)  wavelength/4 
A)  wavelength/1 
B)  wavelength/2 
C)  wavelength/3 
D)  wavelength/4

Question 13

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 frequency of the mode of vibration with the lowest frequency is

Accepted Answer

A)  315 Hz. 
B)  276 Hz. 
C)  250 Hz. 
D)  205 Hz. 
E)  182 Hz. 
A)  315 Hz. 
B)  276 Hz. 
C)  250 Hz. 
D)  205 Hz. 
E)  182 Hz.

Question 14

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) = 2.0cm 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 15

The frequency of a periodic wave is 325 Hz.If the wavelength is 50.0 cm,then what is the velocity of the wave?

Accepted Answer

A)  163 m/s 
B)  203 m/s 
C)  237 m/s 
D)  285 m/s 
E)  316 m/s 
A)  163 m/s 
B)  203 m/s 
C)  237 m/s 
D)  285 m/s 
E)  316 m/s

Question 16

The intensity of the sound wave from an airplane is 1.0 $\times$ 102 W/m2 at 5.0 m.What is the intensity at 100 m?

Accepted Answer

A)  0.25 W/m2 
B)  0.53 W/m2 
C)  5.0 W/m2 
D)  0.25 mW/m2 
A)  0.25 W/m2 
B)  0.53 W/m2 
C)  5.0 W/m2 
D)  0.25 mW/m2

Question 17

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)cos20.0 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)cos20.0 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 18

A length of piano wire is used to hang a mass from the ceiling.If the total mass of the string is 0.72 g and the mass hung from it is 1850 g,what is the length of the wire,assuming the fundamental frequency when plucked in these circumstances is 1280 Hz?

Accepted Answer

A)  2.48 cm 
B)  6.15 cm 
C)  3.08 cm 
D)  1.54 cm 
A)  2.48 cm 
B)  6.15 cm 
C)  3.08 cm 
D)  1.54 cm

Question 19

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

Question 20

A wave is traveling with a velocity of 300 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 400 m/s.What is the angle of refraction?

Accepted Answer

A)  20.5 degrees 
B)  25.9 degrees 
C)  30.5 degrees 
D)  41.8 degrees 
E)  50.3 degrees 
A)  20.5 degrees 
B)  25.9 degrees 
C)  30.5 degrees 
D)  41.8 degrees 
E)  50.3 degrees

Exam 11: Waves

The period of a periodic wave is 2.80 milliseconds.The frequency of the vibration motion of the wave 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?

A longitudinal wave travels on a slinky or any long spring.The wave is represented by the equation z(z,t) = 1.2 cm cos(1800 rad/s t + 60 m-1 z).What is the wave vector of the wave?

The wavelength of a periodic wave is 0.750 m.If the frequency is 425 Hz,then what is the velocity of the wave?

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 velocity of wave propagation on the string is

The wavelength of a periodic wave is 0.750 m.If the frequency is 365 Hz,then what is the angular frequency, ω\omegaω ,of the wave?

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 string is stretched with a tension of 100 N.The string has a length of 2.00 meters.The velocity of wave propagation along the string is 220 m/s.The mass of the string is

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 frequency of the vibration 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 velocity of the wave?

A guitar string is supposed to be played with a fundamental frequency of 880 Hz.If it is determined to have,instead,a fundamental frequency of 882 Hz,by what amount (as a percentage)must the tension in the string be changed in order that the fundamental frequency be restored to 880 Hz?

What is the distance between a node and an antinode?

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 frequency 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) = 2.0cm sin(1,200 rad/s t + 20.0 m-1 z).What is the equation that represents the superposition of the two waves?

The frequency of a periodic wave is 325 Hz.If the wavelength is 50.0 cm,then what is the velocity of the wave?

The intensity of the sound wave from an airplane is 1.0 ×\times× 102 W/m2 at 5.0 m.What is the intensity at 100 m?

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 length of piano wire is used to hang a mass from the ceiling.If the total mass of the string is 0.72 g and the mass hung from it is 1850 g,what is the length of the wire,assuming the fundamental frequency when plucked in these circumstances is 1280 Hz?

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 wave is traveling with a velocity of 300 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 400 m/s.What is the angle of refraction?

Introduction

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Acceleration and Newtons Second Law of Motion

Motion With Constant Acceleration

Circular Motion

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Heat

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Electric Current and Circuits

Magnetic Forces and Fields

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Reflection and Refraction of Light

Optical Instruments

Interference and Diffraction

Relativity

Early Quantum Physics and the Photon

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Filters

A longitudinal wave travels on a slinky or any long spring.The wave is represented by the equation z(z,t) = 1.2 cm cos(1800 rad/s t + 60 m^-1 z).What is the wave vector of the wave?

The wavelength of a periodic wave is 0.750 m.If the frequency is 365 Hz,then what is the angular frequency, $\omega$ ,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 frequency of the vibration 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 velocity 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) = 2.0cm sin(1,200 rad/s t + 20.0 m^-1 z).What is the equation that represents the superposition of the two waves?

The intensity of the sound wave from an airplane is 1.0 $\times$ 10² W/m² at 5.0 m.What is the intensity at 100 m?

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