Question 1

For a given medium, the frequency of a wave is:

Accepted Answer

A) independent of wavelength 
B) proportional to wavelength 
C) inversely proportional to wavelength 
D) proportional to the amplitude 
E) inversely proportional to the amplitude 
A) independent of wavelength 
B) proportional to wavelength 
C) inversely proportional to wavelength 
D) proportional to the amplitude 
E) inversely proportional to the amplitude

Question 2

A sinusoidal wave is traveling toward the right as shown.Which letter correctly labels the wavelength of the wave?

Accepted Answer

A) A 
B) B 
C) C 
D) D 
E) E 
A) A 
B) B 
C) C 
D) D 
E) E

Question 3

Two identical but separate strings, with the same tension, carry sinusoidal waves with the same amplitude.Wave A has a frequency that is twice that of wave B and transmits energy at a rate that is __________ that of wave B.

Accepted Answer

A) half 
B) twice 
C) one-fourth 
D) four times 
E) eight times 
A) half 
B) twice 
C) one-fourth 
D) four times 
E) eight times

Question 4

Let f be the frequency, v the speed, and T the period of a sinusoidal traveling wave.The correct relationship is:

Accepted Answer

A) f = 1/T 
B) f = v + T 
C) f = vT 
D) f = v/T 
E) f = T/v 
A) f = 1/T 
B) f = v + T 
C) f = vT 
D) f = v/T 
E) f = T/v

Question 5

When a certain string is clamped at both ends, the lowest four resonant frequencies are 50, 100, 150, and 200 Hz.When the string is also clamped at its midpoint, the lowest four resonant frequencies are:

Accepted Answer

A) 50, 100, 150, and 200 Hz 
B) 50, 150, 250, and 300 Hz 
C) 100, 200, 300, and 400 Hz 
D) 25, 50 75, and 100 Hz 
E) 75, 150, 225, and 300 Hz 
A) 50, 100, 150, and 200 Hz 
B) 50, 150, 250, and 300 Hz 
C) 100, 200, 300, and 400 Hz 
D) 25, 50 75, and 100 Hz 
E) 75, 150, 225, and 300 Hz

Question 6

A wave is described by y(x,t)= 0.1 sin(3x + 10t), where x is in meters, y is in centimeters and t is in seconds.The angular wave number is:

Accepted Answer

A) 0.10 rad/m 
B) 3 $\pi$  rad/m 
C) 10 rad/m 
D) 10  $\pi$  rad/m 
E) 3.0 rad/m 
A) 0.10 rad/m 
B) 3 $\pi$  rad/m 
C) 10 rad/m 
D) 10  $\pi$  rad/m 
E) 3.0 rad/m

Question 7

Two separated sources emit sinusoidal traveling waves that have the same wavelength  $\lambda$  and are in phase at their respective sources.One travels a distance $\lambda$1 to get to the observation point while the other travels a distance $\lambda$2.The amplitude is a minimum at the observation point if $\lambda$1 $\lambda$  2 is:

Accepted Answer

A) an odd multiple of  $\lambda$ /2 
B) an odd multiple of $\lambda$ /4 
C) a multiple of  $\lambda$ . 
D) an odd multiple of  $\lambda$ /2. 
E) a multiple of   $\pi$ 
A) an odd multiple of  $\lambda$ /2 
B) an odd multiple of $\lambda$ /4 
C) a multiple of  $\lambda$ . 
D) an odd multiple of  $\lambda$ /2. 
E) a multiple of   $\pi$

Question 8

A 40-cm long string, with one end clamped and the other free to move transversely, is vibrating in its fundamental standing wave mode.The wavelength of the constituent traveling waves is:

Accepted Answer

A) 10 cm 
B) 20 cm 
C) 40 cm 
D) 80 cm 
E) 160 cm 
A) 10 cm 
B) 20 cm 
C) 40 cm 
D) 80 cm 
E) 160 cm

Question 9

Two sinusoidal waves, each of wavelength 5 m and amplitude 10 cm, travel in opposite directions on a 20-m stretched string which is clamped at each end.Excluding the nodes at the ends of the string, how many nodes appear in the resulting standing wave?

Accepted Answer

A) 3 
B) 4 
C) 5 
D) 7 
E) 8 
A) 3 
B) 4 
C) 5 
D) 7 
E) 8

Question 10

A transverse wave travels on a string of length 1.3 m and diameter 1.1 mm, whose mass is 10 g and which is under a tension of 16 N.What is the linear mass density of the string?

Accepted Answer

A) 7.7 x 10-3 kg/m 
B) 0.13 kg/m 
C) 7.7 kg/m 
D) 46 kg/m 
E) 130 kg/m 
A) 7.7 x 10-3 kg/m 
B) 0.13 kg/m 
C) 7.7 kg/m 
D) 46 kg/m 
E) 130 kg/m

Question 11

A sinusoidal wave is generated by moving the end of a string up and down periodically.The generator must supply the greatest power when the end of the string:

Accepted Answer

A) has its greatest acceleration 
B) has its greatest displacement 
C) has half its greatest displacement 
D) has one fourth its greatest displacement 
E) has its least displacement 
A) has its greatest acceleration 
B) has its greatest displacement 
C) has half its greatest displacement 
D) has one fourth its greatest displacement 
E) has its least displacement

Question 12

What are the three main types of waves?

Accepted Answer

A) transverse, longitudinal, linear 
B) plane, spherical, transverse 
C) mechanical, electromagnetic, matter 
D) transverse, linear, water 
E) plane, longitudinal, mechanical 
A) transverse, longitudinal, linear 
B) plane, spherical, transverse 
C) mechanical, electromagnetic, matter 
D) transverse, linear, water 
E) plane, longitudinal, mechanical

Question 13

A string carries a sinusoidal wave with an amplitude of 2.0 cm and a frequency of 100 Hz.The maximum speed of any point on the string is:

Accepted Answer

A) 2.0 m/s 
B) 4.0 m/s 
C) 6.3 m/s 
D) 13 m/s 
E) unknown (not enough information is given) 
A) 2.0 m/s 
B) 4.0 m/s 
C) 6.3 m/s 
D) 13 m/s 
E) unknown (not enough information is given)

Question 14

A wave traveling to the right on a stretched string is shown below.The direction of the instantaneous velocity of the point P on the string is:

Accepted Answer

A) $\uparrow$ 
B) $\downarrow$ 
C) $\rightarrow$ 
D)  "  
E) "no direction since v = 0" 
A) $\uparrow$ 
B) $\downarrow$ 
C) $\rightarrow$ 
D)  "  
E) "no direction since v = 0"

Question 15

A wave on a stretched string is reflected from a fixed end P of the string.The phase difference, at P, between the incident and reflected waves is:

Accepted Answer

A) "0 rad" 
B) "$\pi$rad" 
C) "$\pi$/2 rad" 
D) "depends on the velocity of the wave" 
E) "depends on the frequency of the wave" 
A) "0 rad" 
B) "$\pi$rad" 
C) "$\pi$/2 rad" 
D) "depends on the velocity of the wave" 
E) "depends on the frequency of the wave"

Question 16

This plot shows the displacement of a string as a function of time, as a sinusoidal wave travels along it.Which letter corresponds to the period of the wave?

Accepted Answer

A) A 
B) B 
C) C 
D) D 
E) E 
A) A 
B) B 
C) C 
D) D 
E) E

Question 17

Two separated sources emit sinusoidal traveling waves that have the same wavelength  $\lambda$ and are in phase at their respective sources.One travels a distance $\lambda$1 to get to the observation point while the other travels a distance $\lambda$2 The amplitude is a maximum at the observation point if $\lambda$1  $\lambda$2 is:

Accepted Answer

A) an odd multiple of  $\lambda$ /2 
B) an odd multiple of  $\lambda$ /4 
C) a multiple of  $\lambda$ 
D) an odd multiple of  $\pi$ /2 
E) a multiple of   $\pi$ 
A) an odd multiple of  $\lambda$ /2 
B) an odd multiple of  $\lambda$ /4 
C) a multiple of  $\lambda$ 
D) an odd multiple of  $\pi$ /2 
E) a multiple of   $\pi$

Question 18

The sinusoidal wave y(x,t)= ymsin(kx -    t)
Is incident on the fixed end of a string at x = L.The reflected wave is given by:

Accepted Answer

A) ymsin(kx +    t) 
B) -ymsin(kx +    t) 
C) ymsin(kx +    t - kL) 
D) ymsin(kx +    t - 2kL) 
E) -ymsin(kx +    t + 2kL) 
A) ymsin(kx +    t) 
B) -ymsin(kx +    t) 
C) ymsin(kx +    t - kL) 
D) ymsin(kx +    t - 2kL) 
E) -ymsin(kx +    t + 2kL)

Question 19

The displacement of a string carrying a traveling sinusoidal wave is given by   At time t = 0 the point at x = 0 has velocity v0 and displacement y0.The phase constant    is given by tan   =:

Accepted Answer

A)   
B)   
C)   
D)   
E)   
A)   
B)   
C)   
D)   
E)

Question 20

The speed of a sinusoidal wave on a string depends on:

Accepted Answer

A) the frequency of the wave 
B) the wavelength of the wave 
C) the length of the string 
D) the tension in the string 
E) the amplitude of the wave 
A) the frequency of the wave 
B) the wavelength of the wave 
C) the length of the string 
D) the tension in the string 
E) the amplitude of the wave

Exam 16: Waves

For a given medium, the frequency of a wave is:

A sinusoidal wave is traveling toward the right as shown.Which letter correctly labels the wavelength of the wave?

Two identical but separate strings, with the same tension, carry sinusoidal waves with the same amplitude.Wave A has a frequency that is twice that of wave B and transmits energy at a rate that is __________ that of wave B.

Let f be the frequency, v the speed, and T the period of a sinusoidal traveling wave.The correct relationship is:

When a certain string is clamped at both ends, the lowest four resonant frequencies are 50, 100, 150, and 200 Hz.When the string is also clamped at its midpoint, the lowest four resonant frequencies are:

A wave is described by y(x,t)= 0.1 sin(3x + 10t), where x is in meters, y is in centimeters and t is in seconds.The angular wave number is:

A 40-cm long string, with one end clamped and the other free to move transversely, is vibrating in its fundamental standing wave mode.The wavelength of the constituent traveling waves is:

Two sinusoidal waves, each of wavelength 5 m and amplitude 10 cm, travel in opposite directions on a 20-m stretched string which is clamped at each end.Excluding the nodes at the ends of the string, how many nodes appear in the resulting standing wave?

A transverse wave travels on a string of length 1.3 m and diameter 1.1 mm, whose mass is 10 g and which is under a tension of 16 N.What is the linear mass density of the string?

A sinusoidal wave is generated by moving the end of a string up and down periodically.The generator must supply the greatest power when the end of the string:

What are the three main types of waves?

A string carries a sinusoidal wave with an amplitude of 2.0 cm and a frequency of 100 Hz.The maximum speed of any point on the string is:

A wave traveling to the right on a stretched string is shown below.The direction of the instantaneous velocity of the point P on the string is:

A wave on a stretched string is reflected from a fixed end P of the string.The phase difference, at P, between the incident and reflected waves is:

This plot shows the displacement of a string as a function of time, as a sinusoidal wave travels along it.Which letter corresponds to the period of the wave?

The sinusoidal wave y(x,t)= ymsin(kx - t) Is incident on the fixed end of a string at x = L.The reflected wave is given by:

The displacement of a string carrying a traveling sinusoidal wave is given by At time t = 0 the point at x = 0 has velocity v0 and displacement y0.The phase constant is given by tan 11ef007b_a973_2e1e_bc85_7b3bfc1d1daa_TB6585_11 =:

The speed of a sinusoidal wave on a string depends on:

Measurement

Motion Along a Straight Line

Vectors

Motion in Two and Three Dimensions

Force and Motion

Force and Motion

Kinetic Energy and Work

Potential Energy and Conservation of Energy

Center of Mass and Linear Momentum

Rotation

Rolling, Torque, and Angular Momentum

Equilibrium and Elasticity

Gravitation

Fluids

Oscillations

Waves

Temperature, Heat, and the First Law of Thermodynamics

The Kinetic Theory of Gases

Entropy and the Second Law of Thermodynamics

Coulombs Law

Electric Fields

Gauss Law

Electric Potential

Capacitance

Current and Resistance

Circuits

Magnetic Fields

Magnetic Fields Due to Currents

Induction and Inductance

Electromagnetic Oscillations and Alternating Current

Maxwells Equations; Magnetism of Matter

Electromagnetic Waves

Images

Interference 1

Diffraction

Relativity

Photons and Matter Waves

More About Matter Waves

All About Atoms

Conduction of Electricity in Solids

Energy From the Nucleus

Quarks, Leptons, and the Big Bang

Filters

The sinusoidal wave y(x,t)= y_msin(kx - t) Is incident on the fixed end of a string at x = L.The reflected wave is given by:

The displacement of a string carrying a traveling sinusoidal wave is given by At time t = 0 the point at x = 0 has velocity v₀ and displacement y₀.The phase constant is given by tan 11ef007b_a973_2e1e_bc85_7b3bfc1d1daa_TB6585_11 =: