Question 1

What is the distance between a node and an adjacent antinode in a standing wave?

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 2

Two piano strings are simultaneously played-their mass and length are identical, but the tensions differ. If the first string resonates with a fundamental frequency of 330 Hz, and its tension is 1.2% greater than that of the second string, what is the fundamental frequency of the second string?

Accepted Answer

A)  328 Hz 
B)  326 Hz 
C)  336 Hz 
D)  334 Hz 
A)  328 Hz 
B)  326 Hz 
C)  336 Hz 
D)  334 Hz

Question 3

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

Accepted Answer

A)  3.87 × 103 rad/s 
B)  3.10 × 103 rad/s 
C)  2.98 × 103 rad/s 
D)  2.29 × 103 rad/s 
E)  1.75 × 103 rad/s 
A)  3.87 × 103 rad/s 
B)  3.10 × 103 rad/s 
C)  2.98 × 103 rad/s 
D)  2.29 × 103 rad/s 
E)  1.75 × 103 rad/s

Question 4

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 5

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.

Question 6

Two strings on a violin are stretched between two points 20 cm apart. The tensions 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 mass per lengths in the strings?

Accepted Answer

A)  0.44 
B)  0.80 
C)  0.85 
D)  0.94 
E)  0.78 
A)  0.44 
B)  0.80 
C)  0.85 
D)  0.94 
E)  0.78

Question 7

The wavelength of a periodic wave is 0.800 m. If the frequency is 400 Hz, then what is the wavenumber k 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 8

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.

Question 9

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 10

What is the distance between adjacent nodes in a standing wave?

Accepted Answer

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

Question 11

A microphone records sound produced from two speakers. As the microphone is moved around, a position at which the microphone receives a minimum intensity is found. If the intensity of one of the sound waves alone at that location is 0.055 W/m2, and if the microphone receives an intensity of 0.004 W/m2 there, what is a possible value for the intensity of the other source at the microphone's location?

Accepted Answer

A)  Need more info to solve. 
B)  0.089 W/m2 
C)  0.051 W/m2 
D)  0.048 W/m2 
A)  Need more info to solve. 
B)  0.089 W/m2 
C)  0.051 W/m2 
D)  0.048 W/m2

Question 12

A transverse wave travels at 250 m/s along the z-axis. If the frequency of the periodic vibrations of the wave is 440 Hz, then what is the wavelength of the wave?

Accepted Answer

A)  21.9 cm 
B)  26.7 cm 
C)  35.7 cm 
D)  56.8 cm 
E)  73.7 cm 
A)  21.9 cm 
B)  26.7 cm 
C)  35.7 cm 
D)  56.8 cm 
E)  73.7 cm

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 guitar string has a tension of 95 N and is 75 cm long. If its mass is 0.27 g, what is the frequency of the first resonance 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 15

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 120 Hz higher than the frequency of the fundamental. What is the tension in the string?

Accepted Answer

A)  2.30 N 
B)  3.26 N 
C)  4.61 N 
D)  18.4 N 
E)  101 N 
A)  2.30 N 
B)  3.26 N 
C)  4.61 N 
D)  18.4 N 
E)  101 N

Question 16

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)  50 m/s in the + x direction 
B)  50 m/s in the − x direction 
C)  0.02 m/s in the + x direction 
D)  0.02 m/s in the − x direction 
A)  50 m/s in the + x direction 
B)  50 m/s in the − x direction 
C)  0.02 m/s in the + x direction 
D)  0.02 m/s in the − x direction

Question 17

A sound source of power 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 18

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 × 10−3 kg/m. 
B)  5.0 × 10−3 kg/m. 
C)  4.2 × 10−3 kg/m. 
D)  3.7 × 10−3 kg/m. 
E)  2.5 × 10−3 kg/m. 
A)  5.8 × 10−3 kg/m. 
B)  5.0 × 10−3 kg/m. 
C)  4.2 × 10−3 kg/m. 
D)  3.7 × 10−3 kg/m. 
E)  2.5 × 10−3 kg/m.

Question 19

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 20

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 constructively, 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)

Exam 11: Waves

What is the distance between a node and an adjacent antinode in a standing wave?

Two piano strings are simultaneously played-their mass and length are identical, but the tensions differ. If the first string resonates with a fundamental frequency of 330 Hz, and its tension is 1.2% greater than that of the second string, what is the fundamental frequency of the second string?

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

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

Two strings on a violin are stretched between two points 20 cm apart. The tensions 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 mass per lengths in the strings?

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

Standing waves are produced by the superposition of two waves with

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?

What is the distance between adjacent nodes in a standing wave?

A transverse wave travels at 250 m/s along the z-axis. If the frequency of the periodic vibrations of the wave is 440 Hz, then what is the wavelength 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 guitar string has a tension of 95 N and is 75 cm long. If its mass is 0.27 g, what is the frequency of the first resonance above the fundamental?

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 120 Hz higher than the frequency of the fundamental. What is the tension in the string?

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

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

The frequency of a periodic wave is 325 Hz. If the wavelength is 50.0 cm, then what is the velocity 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 constructively, then which equation could represent the superposition of the two waves?

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 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 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 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 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 constructively, then which equation could represent the superposition of the two waves?