# Quiz 16: Waves I

Physics & Astronomy

Q 1Q 1

A traveling sinusoidal wave is shown below.At which point is the motion 180 out of phase with the motion at point P?
A)A
B)B
C)C
D)D
E)E

Free

Multiple Choice

C

Q 2Q 2

What are the three main types of waves?
A)transverse, longitudinal, linear
B)plane, spherical, transverse
C)mechanical, electromagnetic, matter
D)transverse, linear, water
E)plane, longitudinal, mechanical

Free

Multiple Choice

C

Q 3Q 3

What is the difference between transverse and longitudinal waves?
A)Mechanical waves are transverse waves while electromagnetic waves are longitudinal.
B)Plane waves are transverse waves while spherical waves are longitudinal.
C)Only longitudinal waves transmit matter.
D)Only transverse waves transmit energy.
E)In transverse waves the displacement is perpendicular to the direction of propagation of the wave, while in longitudinal waves the displacement is parallel to the direction of propagation.

Free

Multiple Choice

E

Q 4Q 4

Three traveling sinusoidal waves are on identical strings, with the same tension.The mathematical forms of the waves are y

_{1}(x,t)= y_{m}sin(3x - 6t), y_{2}(x,t)= y_{m}sin(4x - 8t), and y_{3}(x,t)= y_{m}sin(6x - 12t), where x is in meters and t is in seconds.Match each mathematical form to the appropriate graph below. A)y_{1}: i, y_{2}: ii, y_{3}: iii B)y_{1}: iii, y_{2}: ii, y_{3}: i C)y_{1}:i, y_{2}: iii, y_{3}: ii D)y_{1}: ii, y_{2}: i, y_{3}: iii E)y_{1}: iii, y_{2}: i, y_{3}: iiFree

Multiple Choice

Q 5Q 5

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)0.10 rad/m
B)3 rad/m
C)10 rad/m
D)10 rad/m
E)3.0 rad/m

Free

Multiple Choice

Q 6Q 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 frequency is:
A)0.10 rad/s
B)3.0 rad/s
C)10 rad/s
D)20 rad/s
E)10 rad/s

Free

Multiple Choice

Q 7Q 7

The displacement of a string carrying a traveling sinusoidal wave is given by At time t = 0 the point at x = 0 has a displacement of 0 and is moving in the positive y direction.The phase constant is:
A)0
B)90
C)135
D)180
E)270

Free

Multiple Choice

Q 8Q 8

The displacement of a string carrying a traveling sinusoidal wave is given by At time t = 0 the point at x = 0 has a velocity of 0 and a positive displacement.The phase constant is:
A)45
B)90
C)135
D)180
E)270

Free

Multiple Choice

Q 9Q 9

The displacement of a string carrying a traveling sinusoidal wave is given by At time t = 0 the point at x = 0 has velocity v

_{0}and displacement y_{0}.The phase constant is given by tan=: A)v_{0}/y_{0}B)y_{0}/v_{0}C)v_{0}/y_{0}D)y_{0}/v_{0}E)v_{0}y_{0}Free

Multiple Choice

Q 10Q 10

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.At time t = 0, the point at x = 0 has a vertical displacement y = 0.0 cm.When is its displacement equal to 0.1 cm?
A)0.16 s
B)0.47 s
C)2.5 s
D)7.5 s
E)10 s

Free

Multiple Choice

Q 11Q 11

A sinusoidal wave is traveling toward the right as shown.Which letter correctly labels the amplitude of the wave?
A)A
B)B
C)C
D)D
E)E

Free

Multiple Choice

Q 12Q 12

A sinusoidal wave is traveling toward the right as shown.Which letter correctly labels the wavelength of the wave?
A)A
B)B
C)C
D)D
E)E

Free

Multiple Choice

Q 13Q 13

In the diagram below, the interval PQ represents:
A)wavelength/2
B)wavelength
C)2 amplitude
D)period/2
E)period

Free

Multiple Choice

Q 14Q 14

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 amplitude of the wave?
A)A
B)B
C)C
D)D
E)E

Free

Multiple Choice

Q 15Q 15

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

Free

Multiple Choice

Q 16Q 16

Two waves are traveling on two different strings.The displacement of one is given by y

_{1}(x,t)= y_{m}sin(kx + t)and of the other by y_{2}(x,t)= y_{m}sin(kx + t + φ).What is the difference between these two waves? A)The displacement of wave y_{1}is always greater than the displacement of wave y_{2}. B)Wave y_{1}has a smaller amplitude than wave y_{2}. C)Wave y_{1}has a higher frequency than wave y_{2}. D)Wave y_{1}has a shorter wavelength than wave y_{2}. E)The two waves are identical except for their displacement at time t = 0.Free

Multiple Choice

Q 17Q 17

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.How long does it take the wave to travel 2.0 m?
A)0.6 s
B)1.0 s
C)3.0 s
D)6.7 s
E)10 s

Free

Multiple Choice

Q 18Q 18

The displacement of a string is given by The wavelength of the wave is:
A)2k/
B)k/
C)k
D)2/k
E)k/2

Free

Multiple Choice

Q 19Q 19

For a transverse wave on a string the string displacement is described by y(x,t)= f(x-at)where f is a given function and a is a positive constant.Which of the following does NOT necessarily follow from this statement?
A)The shape of the string at time t = 0 is given by f(x).
B)The shape of the waveform does not change as it moves along the string.
C)The waveform moves in the positive x direction.
D)The speed of the waveform is a.
E)The speed of the waveform is x/t.

Free

Multiple Choice

Q 20Q 20

The displacement of a string is given by y(x,t)= y

_{m}sin(kx + t). The speed of the wave is: A)2k/ B)/k C)k D)2/k E)k/2Free

Multiple Choice

Q 21Q 21

Water waves in the sea are observed to have a wavelength of 300 m and a frequency of 0.07 Hz.The speed of these waves is:
A)0.00023 m/s
B)2.1 m/s
C)21 m/s
D)4300 m/s
E)none of these

Free

Multiple Choice

Q 22Q 22

Sinusoidal water waves are generated in a large ripple tank.The waves travel at 20 cm/s and their adjacent crests are 5.0 cm apart.The time required for each new whole cycle to be generated is:
A)100 s
B)4.0 s
C)2.0 s
D)0.5 s
E)0.25 s

Free

Multiple Choice

Q 23Q 23

For a given medium, the frequency of a wave is:
A)independent of wavelength
B)proportional to wavelength
C)inversely proportional to wavelength
D)proportional to the amplitude
E)inversely proportional to the amplitude

Free

Multiple Choice

Q 24Q 24

Let f be the frequency, v the speed, and T the period of a sinusoidal traveling wave.The correct relationship is:
A)f = 1/T
B)f = v + T
C)f = vT
D)f = v/T
E)f = T/v

Free

Multiple Choice

Q 25Q 25

Let f be the frequency, v the speed, and T the period of a sinusoidal traveling wave.The angular frequency is given by:
A)1/T
B)2/T
C)vT
D)f/T
E)T/f

Free

Multiple Choice

Q 26Q 26

A source of frequency f sends waves of wavelength traveling with speed v in some medium.If the frequency is changed from f to 2f, then the new wavelength and new speed are (respectively):
A)2, v
B)/2, v
C), 2v
D), v/2
E)/2, 2v

Free

Multiple Choice

Q 27Q 27

A long string is constructed by joining the ends of two shorter strings.The tension in the strings is the same but string I has 4 times the linear mass density of string II.When a sinusoidal wave passes from string I to string II:
A)the frequency decreases by a factor of 4
B)the frequency decreases by a factor of 2
C)the wavelength decreases by a factor of 4
D)the wavelength decreases by a factor of 2
E)the wavelength increases by a factor of 2

Free

Multiple Choice

Q 28Q 28

A sinusoidal transverse wave is traveling on a string.Any point on the string:
A)moves in the same direction as the wave
B)moves in simple harmonic motion with a different frequency than that of the wave
C)moves in simple harmonic motion with the same angular frequency as the wave
D)moves in uniform circular motion with a different angular speed than the wave
E)moves in uniform circular motion with the same angular speed as the wave

Free

Multiple Choice

Q 29Q 29

Any point on a string carrying a sinusoidal wave is moving with its maximum speed when:
A)the magnitude of its acceleration is a maximum
B)the magnitude of its displacement is a maximum
C)the magnitude of its displacement is a minimum
D)the magnitude of its displacement is half the amplitude
E)the magnitude of its displacement is one fourth the amplitude

Free

Multiple Choice

Q 30Q 30

Here are equations for three waves traveling on separate strings.Rank them according to the maximum transverse speed, least to greatest.
A)1, 2, 3
B)1, 3, 2
C)2, 1, 3
D)2, 3, 1
E)3, 1, 2

Free

Multiple Choice

Q 31Q 31

The mathematical forms for the three sinusoidal traveling waves are given by where x is in meters and t is in seconds.Of these waves:
A)wave 1 has the greatest wave speed and the greatest maximum transverse string speed
B)wave 2 has the greatest wave speed and wave 1 has the greatest maximum transverse string speed
C)wave 3 has the greatest wave speed and the greatest maximum transverse string speed
D)wave 2 has the greatest wave speed and wave 3 has the greatest maximum transverse string speed
E)wave 3 has the greatest wave speed and wave 2 has the greatest maximum transverse string speed

Free

Multiple Choice

Q 32Q 32

Suppose the maximum speed of a string carrying a sinusoidal wave is v

_{s}.When the displacement of a point on the string is half its maximum, the speed of the point is: A)v_{s}/2 B)2v_{s}C)v_{s}/4 D)3v_{s}/4 E)v_{s}/2Free

Multiple Choice

Q 33Q 33

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)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)

Free

Multiple Choice

Q 34Q 34

A transverse traveling sinusoidal wave on a string has a frequency of 100 Hz, a wavelength of 0.040 m and an amplitude of 2.0 mm.The maximum velocity of any point on the string is:
A)0.20 m/s
B)1.3 m/s
C)4.0 m/s
D)15 m/s
E)25 m/s

Free

Multiple Choice

Q 35Q 35

A transverse traveling sinusoidal wave on a string has a frequency of 100 Hz, a wavelength of 0.040 m and an amplitude of 2.0 mm.The maximum acceleration of any point on the string is:
A)0 m/s

^{2}B)200 m/s^{2}C)390 m/s^{2}D)790 m/s^{2}E)1600 m/s^{2}Free

Multiple Choice

Q 36Q 36

In the figure, a wave is traveling from left to right.If the point marked "D" represents the origin at time t = 0, and the displacement of the wave is given by y(x,t)= y

_{m}sin(kx - t - ), what is the phase constant A)0 B)π/6 C)π/4 D)π/2 E)3π/2Free

Multiple Choice

Q 37Q 37

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)7.7 x 10

^{-3}kg/m B)0.13 kg/m C)7.7 kg/m D)46 kg/m E)130 kg/mFree

Multiple Choice

Q 38Q 38

Sinusoidal waves travel on five identical strings.Four of the strings have the same tension, but the fifth has a different tension.Use the mathematical forms of the waves, gives below, to identify the string with the different tension.In the expressions given below x and y are in centimeters and t is in seconds.
A)y(x,t)= (2 cm)sin (2x - 4t)
B)y(x,t)= (2 cm)sin (4x - 10t)
C)y(x,t)= (2 cm)sin (6x - 12t)
D)y(x,t)= (2 cm)sin (8x - 16t)
E)y(x,t)= (2 cm)sin (10x - 20t)

Free

Multiple Choice

Q 39Q 39

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

Free

Multiple Choice

Q 40Q 40

The time required for a small pulse to travel from A to B on a stretched cord shown is NOT altered by changing:
A)the linear mass density of the cord
B)the length between A and B
C)the shape of the pulse
D)the tension in the cord
E)none of the above (changes in all alter the time)

Free

Multiple Choice

Q 41Q 41

The diagram shows three identical strings that have been put under tension by suspending masses of 5 kg each.For which is the wave speed the greatest?
A)1
B)2
C)3
D)1 and 3 tie
E)2 and 3 tie

Free

Multiple Choice

Q 42Q 42

The tension in a string with a linear density of 0.0010 kg/m is 0.40 N.A 100 Hz sinusoidal wave on this string has a wavelength of:
A)0.20 cm
B)2.0 cm
C)5.0 cm
D)20 cm
E)400 cm

Free

Multiple Choice

Q 43Q 43

When a 100-Hz oscillator is used to generate a sinusoidal wave on a certain string the wavelength is 10 cm.When the tension in the string is doubled the generator produces a wave with a frequency and wavelength of:
A)200 Hz and 20 cm
B)141 Hz and 10 cm
C)100 Hz and 20 cm
D)100 Hz and 14 cm
E)50 Hz and 14 cm

Free

Multiple Choice

Q 44Q 44

Three separate strings are made of the same material.String 1 has length L and tension , string 2 has length 2L and tension 2 and string 3 has length 3L and tension 3.A pulse is started at one end of each string.If the pulses start at the same time, the order in which they reach the other end is:
A)1, 2, 3
B)3, 2, 1
C)2, 3, 1
D)3, 1, 2
E)they all take the same time

Free

Multiple Choice

Q 45Q 45

A long string is constructed by joining the ends of two shorter strings.The tension in the strings is the same but string I has 4 times the linear mass density of string II.When a sinusoidal wave passes from string I to string II:
A)the frequency decreases by a factor of 4
B)the frequency decreases by a factor of 2
C)the wave speed decreases by a factor of 4
D)the wave speed decreases by a factor of 2
E)the wave speed increases by a factor of 2

Free

Multiple Choice

Q 46Q 46

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

Free

Multiple Choice

Q 47Q 47

Two identical but separate strings, with the same tension, carry sinusoidal waves with the same frequency.Wave A has an amplitude that is twice that of wave B and transmits energy at a rate that is __________ that of wave B.
A)half
B)twice
C)one-fourth
D)four times
E)eight times

Free

Multiple Choice

Q 48Q 48

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:
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

Free

Multiple Choice

Q 49Q 49

A sinusoidal wave is generated by moving the end of a string up and down periodically.The generator does not supply any power when the end of the string
A)has its least acceleration
B)has its greatest displacement
C)has half its greatest displacement
D)has one fourth its greatest displacement
E)has its least displacement

Free

Multiple Choice

Q 50Q 50

The displacement of an element of a string is given by y(x,t)= 4.3sin(1.2x - t - π), with x in meters and t in seconds.Given that , what is v?
A)0.065 m/s
B)0.25 m/s
C)2.0 m/s
D)3.9 m/s
E)15 m/s

Free

Multiple Choice

Q 51Q 51

The sum of two sinusoidal traveling waves is a sinusoidal traveling wave only if:
A)their amplitudes are the same and they travel in the same direction
B)their amplitudes are the same and they travel in opposite directions
C)their frequencies are the same and they travel in the same direction
D)their frequencies are the same and they travel in opposite directions
E)their frequencies are the same and their amplitudes are the same

Free

Multiple Choice

Q 52Q 52

Two traveling sinusoidal waves interfere to produce a wave with the mathematical form If the value of is appropriately chosen, the two waves might be:
A)y

_{1}(x,t)= (y_{m}/3)sin (kx + t)and y_{2}(x,t)= (y_{m}/3)sin (kx + t + ) B)y_{1}(x,t)= 0.7y_{m}sin (kx - t)and y_{2}(x,t)= 0.7y_{m}sin (kx - t + ) C)y_{1}(x,t)= 0.7y_{m}sin (kx - t)and y_{2}(x,t)= 0.7y_{m}sin (kx + t + ) D)y_{1}(x,t)= 0.7y_{m}sin [(kx/2)- (t/2)] and y_{2}(x,t)= 0.7y_{m}sin [(kx/2)- (t/2)+ ] E)y_{1}(x,t)= 0.7y_{m}sin (kx + t)and y_{2}(x,t)= 0.7y_{m}sin (kx + t + )Free

Multiple Choice

Q 53Q 53

Two sinusoidal waves have the same angular frequency, the same amplitude y

_{m}, and travel in the same direction in the same medium.If they differ in phase by 50, the amplitude of the resultant wave is given by A)0.64 y_{m}B)1.3 y_{m}C)0.91 y_{m}D)1.8 y_{m}E)0.35 y_{m}Free

Multiple Choice

Q 54Q 54

Fully constructive interference between two sinusoidal waves of the same frequency occurs only if they:
A)travel in the same direction and are 270 out of phase
B)travel in the same direction and are 45 out of phase
C)travel in the same direction and are in phase
D)travel in the same direction and are 180 out of phase
E)travel in the same direction and are 90 out of phase

Free

Multiple Choice

Q 55Q 55

Fully destructive interference between two sinusoidal waves of the same frequency and amplitude occurs only if they:
A)travel in the same direction and are 270 out of phase
B)travel in the same direction and are 45 out of phase
C)travel in the same direction and are in phase
D)travel in the same direction and are 180 out of phase
E)travel in the same direction and are 90 out of phase

Free

Multiple Choice

Q 56Q 56

Two sinusoidal waves travel in the same direction and have the same frequency.Their amplitudes are y

_{1}_{m}and y_{2}_{m}.The smallest possible amplitude of the resultant wave is: A)y_{1}_{m}+ y_{2}_{m}and occurs when they are 180 out of phase B)y_{1}_{m}- y_{2}_{m} and occurs when they are 180 out of phase C)y_{1}_{m}+ y_{2}_{m}and occurs when they are in phase D)y_{1}_{m}- y_{2}_{m} and occurs when they are in phase E)y_{1}_{m}- y_{2}_{m} and occurs when they are 90 out of phaseFree

Multiple Choice

Q 57Q 57

Two separated sources emit sinusoidal traveling waves that have the same wavelength and are in phase at their respective sources.One travels a distance ℓ

_{1}to get to the observation point while the other travels a distance ℓ_{2}.The amplitude is a minimum at the observation point if ℓ_{1 }− ℓ_{2}is: A)an odd multiple of /2 B)an odd multiple of /4 C)a multiple of D)an odd multiple of /2 E)a multiple of Free

Multiple Choice

Q 58Q 58

Two separated sources emit sinusoidal traveling waves that have the same wavelength and are in phase at their respective sources.One travels a distance ℓ

_{1}to get to the observation point while the other travels a distance ℓ_{2}The amplitude is a maximum at the observation point if ℓ_{1 }− ℓ_{2}is: A)an odd multiple of /2 B)an odd multiple of /4 C)a multiple of D)an odd multiple of /2 E)a multiple of Free

Multiple Choice

Q 59Q 59

Two sources, S

_{1}and S_{2}, each emit waves of wavelength in the same medium.The phase difference between the two waves, at the point P shown, is .The quantity is: A)the distance S_{1}S_{2}B)the angle S_{1}PS_{2}C)/2 D)the phase difference between the two sources E)zero for transverse waves, for longitudinal wavesFree

Multiple Choice

Q 60Q 60

Two sinusoidal waves travel along the same string.They have the same wavelength and frequency.Their amplitudes are y

_{m1}= 2.5 mm and y_{m2}= 4.5 mm, and their phases are π/4 rad and π/2 rad, respectively.What are the amplitude and phase of the resultant wave? A)cannot solve without knowing the wavelength B)5.1 mm, 0.51 rad C)5.1 mm, 0.79 rad D)6.5 mm, 1.3 rad E)7.0 mm, 1.3 radFree

Multiple Choice

Q 61Q 61

The sinusoidal wave y(x,t)= y

_{m}sin(kx - t) Is incident on the fixed end of a string at x = L.The reflected wave is given by: A)y_{m}sin(kx + t) B)-y_{m}sin(kx + t) C)y_{m}sin(kx + t - kL) D)y_{m}sin(kx + t - 2kL) E)-y_{m}sin(kx + t + 2kL)Free

Multiple Choice

Q 62Q 62

A standing wave:
A)can be constructed from two similar waves traveling in opposite directions
B)must be transverse
C)must be longitudinal
D)has motionless points that are closer than half a wavelength
E)has a wave velocity that differs by a factor of two from what it would be for a traveling wave

Free

Multiple Choice

Q 63Q 63

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)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

Free

Multiple Choice

Q 64Q 64

When a certain string is clamped at both ends, the lowest four resonant frequencies are measured to be 100, 150, 200, and 250 Hz.One of the resonant frequencies (below 200 Hz)is missing.What is it?
A)25 Hz
B)50 Hz
C)75 Hz
D)125 Hz
E)225 Hz

Free

Multiple Choice

Q 65Q 65

When a string is vibrating in a standing wave pattern the power transmitted across an antinode, compared to the power transmitted across a node, is:
A)more
B)less
C)the same (zero)
D)the same (non-zero)
E)sometimes more, sometimes less, and sometimes the same

Free

Multiple Choice

Q 66Q 66

Which of the following represents a standing wave?
A)y = (6.0 mm)sin[(3.0 m

^{-1})x + (2.0 s^{-1})t] - (6.0 mm)cos[(3.0 m^{-1})x + 2.0] B)y = (6.0 mm)cos[(3.0 m^{-1})x - (2.0 s^{-1})t] + (6.0 mm)cos[(2.0 s^{-1})t + (3.0 m^{-1})x] C)y = (6.0 mm)cos[(3.0 m^{-1})x - (2.0 s^{-1})t] - (6.0 mm)sin[(2.0 s^{-1})t - 3.0] D)y = (6.0 mm)sin[(3.0 m^{-1})x - (2.0 s^{-1})t] - (6.0 mm)cos[(2.0 s^{-1})t + (3.0 m^{-1})x] E)y = (6.0 mm)sin[(3.0 m^{-1})x] + (6.0 mm)cos[(2.0 s^{-1})t]Free

Multiple Choice

Q 67Q 67

Which of the following represents the motion of a string element at an antinode of a standing wave?
A)y = (6.0 mm)sin[(3.0 m

^{-1})x + (2.0 s^{-1})t] B)y = (6.0 mm)cos[(3.0 m^{-1})x - (2.0 s^{-1})t] C)y = (6.0 mm)cos[(3.0 m^{-1})x + (2.0 s^{-1})t] D)y = (6.0 mm)sin[(3.0 m^{-1})x E)y = (6.0 mm)cos[(2.0 s^{-1})tFree

Multiple Choice

Q 68Q 68

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:
A)0 rad
B) rad
C)/2 rad
D)depends on the velocity of the wave
E)depends on the frequency of the wave

Free

Multiple Choice

Q 69Q 69

A wave on a string is reflected from a fixed end.The reflected wave:
A)is in phase with the original wave at the end
B)is 180 out of phase with the original wave at the end
C)has a larger amplitude than the original wave
D)has a larger speed than the original wave
E)cannot be transverse

Free

Multiple Choice

Q 70Q 70

Two traveling waves, y

_{1}= A sin[k(x - vt)] and y_{2}= A sin[k(x + vt)], are superposed on the same string.The distance between the adjacent nodes is: A)vt/ B)vt/2 C)/2k D)/k E)2/kFree

Multiple Choice

Q 71Q 71

If is the wavelength of the each of the component sinusoidal traveling waves that form a standing wave, the distance between adjacent nodes in the standing wave is:
A)/4
B)/2
C)3/4
D)
E)2

Free

Multiple Choice

Q 72Q 72

A standing wave pattern is established in a string as shown.The wavelength of one of the component traveling waves is:
A)0.25 m
B)0.5 m
C)1 m
D)2 m
E)4 m

Free

Multiple Choice

Q 73Q 73

Standing waves are produced by the interference of two traveling sinusoidal waves, each of frequency 100 Hz.The distance from the 2nd node to the 5th node is 60 cm.The wavelength of each of the two original waves is:
A)50 cm
B)40 cm
C)30 cm
D)20 cm
E)15 cm

Free

Multiple Choice

Q 74Q 74

A string of length 100 cm is held fixed at both ends and vibrates in a standing wave pattern.The wavelengths of the constituent traveling waves CANNOT be:
A)400 cm
B)200 cm
C)100 cm
D)67 cm
E)50 cm

Free

Multiple Choice

Q 75Q 75

A string of length L is clamped at each end and vibrates in a standing wave pattern.The wavelengths of the constituent traveling waves CANNOT be:
A)L
B)2L
C)L/2
D)2L/3
E)4L

Free

Multiple Choice

Q 76Q 76

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

Free

Multiple Choice

Q 77Q 77

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

Free

Multiple Choice

Q 78Q 78

A 30-cm long string, with one end clamped and the other free to move transversely, is vibrating in its second harmonic.The wavelength of the constituent traveling waves is:
A)10 cm
B)30 cm
C)40 cm
D)60 cm
E)120 cm

Free

Multiple Choice

Q 79Q 79

A string, clamped at its ends, vibrates in three segments.The string is 100 cm long.The wavelength is:
A)33 cm
B)67 cm
C)150 cm
D)300 cm
E)need to know the frequency

Free

Multiple Choice

Q 80Q 80

A 40-cm long string, with one end clamped and the other free to move transversely, is vibrating in its fundamental standing wave mode.If the wave speed is 320 cm/s the frequency is:
A)32 Hz
B)16 Hz
C)8 Hz
D)4 Hz
E)2 Hz

Free

Multiple Choice