Question 1

The following figure is a graph of a wave at a fixed position.   The following figure is a graph of the same wave at a fixed time.   What is the velocity of the wave in the above figure?

Accepted Answer

A)  150 m/s 
B)  200 m/s 
C)  250 m/s 
D)  300 m/s 
E)  450 m/s 
A)  150 m/s 
B)  200 m/s 
C)  250 m/s 
D)  300 m/s 
E)  450 m/s

Question 2

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 are the wavenumber and direction of propagation of the wave?

Accepted Answer

A)  60 m−1; traveling in the + z direction 
B)  60 m−1; traveling in the − z direction 
C)  60 m−1; traveling in the + x direction 
D)  60 m−1; traveling in the − x direction 
A)  60 m−1; traveling in the + z direction 
B)  60 m−1; traveling in the − z direction 
C)  60 m−1; traveling in the + x direction 
D)  60 m−1; traveling in the − x direction

Question 3

Visible light consists of electromagnetic waves with wavelengths (in air) in the range 400-700 nm. The speed of light in air is 3.0 × 108 m/s. What are the frequencies of visible light?

Accepted Answer

A)  1.33 × 1014 Hz to 2.33 × 1014 Hz 
B)  1.33 × 1012 Hz to 2.33 × 1012 Hz 
C)  4.29 × 1012 Hz to 7.50 × 1012 Hz 
D)  4.29 × 1014 Hz to 7.50 × 1014 Hz 
A)  1.33 × 1014 Hz to 2.33 × 1014 Hz 
B)  1.33 × 1012 Hz to 2.33 × 1012 Hz 
C)  4.29 × 1012 Hz to 7.50 × 1012 Hz 
D)  4.29 × 1014 Hz to 7.50 × 1014 Hz

Question 4

The intensity of the sound wave from an airplane is 1.0 × 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 5

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.

Question 6

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

Question 7

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 mode next higher than the fundamental mode is

Accepted Answer

A)  1,400 Hz. 
B)  1,322 Hz. 
C)  1,225 Hz. 
D)  1,558 Hz. 
E)  2,120 Hz. 
A)  1,400 Hz. 
B)  1,322 Hz. 
C)  1,225 Hz. 
D)  1,558 Hz. 
E)  2,120 Hz.

Question 8

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 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 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 10

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

Accepted Answer

A)  5.44 × 103 rad/s 
B)  5.03 × 103 rad/s 
C)  4.21 × 103 rad/s 
D)  3.76 × 103 rad/s 
E)  2.67 × 103 rad/s 
A)  5.44 × 103 rad/s 
B)  5.03 × 103 rad/s 
C)  4.21 × 103 rad/s 
D)  3.76 × 103 rad/s 
E)  2.67 × 103 rad/s

Question 11

A transverse wave travels at 230.0 m/s along the y-axis. If the frequency of the periodic vibrations of the wave is 390.0 Hz, then what is the wavelength of the wave?

Accepted Answer

A)  58.97 cm 
B)  47.23 cm 
C)  40.89 cm 
D)  36.76 cm 
E)  68.97 cm 
A)  58.97 cm 
B)  47.23 cm 
C)  40.89 cm 
D)  36.76 cm 
E)  68.97 cm

Question 12

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 13

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

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, with the same wavelength and frequency, has an amplitude of 4.2 cm. If the two waves interfere destructively, then which equation could represent the 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 sound wave radiates from a source uniformly in all directions. If the power of the sound source is 200 watts, then the intensity of the sound wave 100 m from the source is

Accepted Answer

A)  2.2 mW/m2. 
B)  2.0 mW/m2. 
C)  1.8 mW/m2. 
D)  1.6 mW/m2. 
E)  1.2 mW/m2. 
A)  2.2 mW/m2. 
B)  2.0 mW/m2. 
C)  1.8 mW/m2. 
D)  1.6 mW/m2. 
E)  1.2 mW/m2.

Question 16

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 17

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 18

The wavelength of a periodic wave is 0.500 m. If the frequency is 400 Hz, then what is the wavenumber k 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 19

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 frequency of the vibration of the wave?

Accepted Answer

A)  319 Hz 
B)  289 Hz 
C)  240 Hz 
D)  199 Hz 
E)  150 Hz 
A)  319 Hz 
B)  289 Hz 
C)  240 Hz 
D)  199 Hz 
E)  150 Hz

Question 20

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

Exam 11: Waves

The following figure is a graph of a wave at a fixed position. The following figure is a graph of the same wave at a fixed time. What is the velocity of the wave in the above figure?

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 are the wavenumber and direction of propagation of the wave?

Visible light consists of electromagnetic waves with wavelengths (in air) in the range 400-700 nm. The speed of light in air is 3.0 × 108 m/s. What are the frequencies of visible light?

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

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

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 mode next higher than the fundamental mode is

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 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?

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

A transverse wave travels at 230.0 m/s along the y-axis. If the frequency of the periodic vibrations of the wave is 390.0 Hz, 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 0.00300 kg/m. The velocity of wave propagation on the string is

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 wave is represented by the equation y(x, t) = 3.2 cm sin(1000 rad/s t − 50 m−1 x). Another wave, with the same wavelength and frequency, has an amplitude of 4.2 cm. If the two waves interfere destructively, then which equation could represent the superposition of the two waves?

A sound wave radiates from a source uniformly in all directions. If the power of the sound source is 200 watts, then the intensity of the sound wave 100 m from the source 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 direction of the vibration of the wave?

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

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

Introduction

Motion Along a Line

Motion in a Plane

Force and Newtons Laws of Motion

Circular Motion

Conservation of Energy

Linear Momentum

Torque and Angular Momentum

Fluids

Elasticity and Oscillations

Sound

Temperature and the Ideal Gas

Heat

Thermodynamics

Electric Forces and Fields

Electric Potential

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

Quantum Physics

Nuclear Physics

Particle Physics

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 are the wavenumber and direction of propagation of the wave?

Visible light consists of electromagnetic waves with wavelengths (in air) in the range 400-700 nm. The speed of light in air is 3.0 × 10⁸ m/s. What are the frequencies of visible light?

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

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 is represented by the equation y(x, t) = 3.2 cm sin(1000 rad/s t − 50 m⁻¹ x). Another wave, with the same wavelength and frequency, has an amplitude of 4.2 cm. If the two waves interfere destructively, then which equation could represent 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 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 direction 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 frequency of the vibration of the wave?

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